# USING LONG DIVISION

Using long division :

Sometimes we may find it difficult to divide a number by another number using simplification. In that kind of situations, long division will be used.

In this section, we are going to see, how long division can be used to divide a number by another number.

The method for long division is given by ## Using long division - Practice problems

Problem 1 :

A local zoo had a total of 98,464 visitors last year. The zoo was open every day except three holidays. On average, how many visitors did the zoo have each day ?

Solution :

Total number of days in an ordinary year  =  365.

The zoo was open every day except three holidays.

So, total number of days that zoo opened  =  362

Total number of visitors in the year  =  98646

Therefore, number of visitors visited the zoo each day is nothing but the quotient when we divide 98464 by 362.

Let us use long division to estimate the quotient when we divide 98464 by 362.

Step 1 :

362 is greater than 9 and 98, so divide 984 by 362. Place the first digit in the quotient in the hundreds place. Multiply 2 by 362 and place the product under 984. Subtract. Step 2 :

Bring down the tens digit. Divide 2,606 by 362. Multiply 7 by 362 and place the product under 2,606. Subtract. Step 3 :

Bring down the ones digit. Divide the ones. When we divide 98464 by 362, we get the quotient 272.

Hence, the average number of visitors per day last year was 272.

Problem 2 :

Marco paid \$39 for 8 tubes of oil paint. About how much did each tube cost ?

Solution :

Cost of each tube is nothing but the quotient when we divide 39 by 8.

Let us use long division to estimate the quotient when we divide 39 by 8. Since 39 is not evenly divisible by 8, place a decimal point in the quotient. Add zeros to the right of the decimal point as needed.

Round to the nearest hundredth to find the dollar amount.

Therefore, the cost of each tube is about \$4.88.

Problem 3 :

A school track is 9.76 meters wide. It is divided into 8 lanes of equal width. How wide is each lane ?

Solution :

The width of each lane is nothing but the quotient when we divide 9.76 by 8.

Let us use long division to estimate the quotient when we divide 9.76 by 8. When we use the digit which comes after the decimal point, place a decimal point in the quotient directly above the decimal point in the dividend.

Therefore, each lane is 1.22 meters wide

Problem 4 :

Aerobics classes cost \$153.86 for 14 sessions. What is the fee for one session ?

Solution :

The fee for one session is nothing but the quotient when we divide 153.86 by 14.

Let us use long division to estimate the quotient when we divide 153.86 by 14. From the above long division, we get

Quotient  =  154

Remainder  =  2

You can write 154 R2.

You can also write the quotient as

154 2/12  or  154 1/6

Therefore, Callie will need 155 boxes to pack all of the books.

When we use the digit which comes after the decimal point, place a decimal point in the quotient directly above the decimal point in the dividend.

Therefore, the fee for one aerobics class is \$10.99.

Problem 5 :

Callie has 1,850 books. She must pack them into boxes to ship to a bookstore. Each box holds 12 books. How many boxes will she need to pack all of the books ?

Solution :

To find the number of boxed that she needs to pack all of the books, we have to divide 1850 by 12.

So, let us divide 1850 by 12 using long division. After having gone through the stuff given above, we hope that the students would have understood "Using long division".

Apart from "Using long division", if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6

Featured Categories

Math Word Problems

SAT Math Worksheet

P-SAT Preparation

Math Calculators

Quantitative Aptitude

Transformations

Algebraic Identities

Trig. Identities

SOHCAHTOA

Multiplication Tricks

PEMDAS Rule

Types of Angles

Aptitude Test 