DIVIDING WHOLE NUMBERS
On this webpage "Dividing whole numbers", we are going to see how to divide whole numbers.
When we divide a number by another number, we will have the terms dividend, divisor, quotient and remainder. To know more about these terms let us look into the division algorithm.
About "Division algorithm"
Division algorithm :
When we divide a number by another number, the division -algorithm is, the sum of product of quotient & divisor and remainder is equal to dividend.
More clearly,
Dividend = Quotient x Divisor + Remainder
The number which we divide is called the dividend.
The number by which we divide is called the divisor.
The result obtained is called the quotient.
The number left over is called the remainder.
More clearly,
Division algorithm
Dividing whole numbers - Examples
Problem 1 :
Divide 300 by 7
Solution :
Dividend = 300
Divisor = 7
Step 1 :
Take the first number of dividend and and check whether it is greater than the divisor.
Step 2 :
By subtracting 28 from 30 we get 2. Here, we have to bring down the next digit of the given number. That is 0.
Now we have to take this 2 along with 0 and divide this 20 by 7.
From the above long division, we have
Dividend = 300
Divisor = 7
Quotient = 42
Remainder = 6
Division algorithm for the above division
Let us the next example of "Dividing whole numbers".
Problem 2 :
Divide 258 by 9, list out dividend, divisor, quotient, remainder and write division-algorithm.
Solution :
As we have seen in problem 1, if we divide 258 by 9 using long division, we get
Dividend = 258
Divisor = 9
Quotient = 28
Remainder = 6
Division algorithm for the above division is
258 = 28x9 + 6
Let us the next example of "Dividing whole numbers".
Problem 3 :
Divide 400 by 8, list out dividend, divisor, quotient, remainder and write division-algorithm.
Solution :
As we have seen in problem 1, if we divide 400 by 8 using long division, we get
Dividend = 400
Divisor = 8
Quotient = 50
Remainder = 0
Division-algorithm for the above division is
400 = 50x8 + 0
Problem 4 :
Divide 1675 by 13, list out dividend, divisor, quotient, remainder and write division-algorithm.
Solution :
As we have seen in problem 1, if we divide 1675 by 13 using long division, we get
Dividend = 1675
Divisor = 13
Quotient = 128
Remainder = 11
Division-algorithm for the above division is
1675 = 128x13 + 11
Problem 5 :
Divide 750 by 16, list out dividend, divisor, quotient, remainder and write division-algorithm.
Solution :
As we have seen in problem 1, if we divide 750 by 16 using long division, we get
Dividend = 750
Divisor = 16
Quotient = 46
Remainder = 14
Division-algorithm for the above division is
750 = 46x16 + 14
Related topics
After having gone through the stuff given above, we hope that the students would have understood "Dividing whole numbers"
If you want to know more about this stuff, please click here
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
We always appreciate your feedback.
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
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
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 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
Recent Articles
-
Integration in the Form of ax Plus b Practice Worksheet
Mar 08, 21 10:16 AM
Integration in the Form of ax Plus b Practice Worksheet
-
Integration of e to the Power ax Plus b
Mar 08, 21 01:33 AM
Integration of e to the Power ax Plus b
-
Integrating Trigonometric Functions in the Form ax plus b
Mar 07, 21 08:50 PM
Integrating Trigonometric Functions in the Form ax plus b
