Divide Whole Numbers

Division of Whole Numbers

Add Whole Numbers Subtract Whole Numbers Multiply Whole Numbers Divide Whole Numbers
Add Fractions Subtract Fractions Multiply Fractions Divide Fractions
Add Decimal Numbers Subtract Decimal Numbers Multiply Decimal Numbers Divide Decimal Numbers
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Division

How to divide a three digit number by a one digit number (e.g. 416 7).

  • Place the divisor before the division bracket and place the dividend (416) under it.
    
         
    7)416
    
    
  • Examine the first digit of the dividend(4). It is smaller than 7 so it can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket.
    
       5 
    7)416
    
    
  • Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.
    
       5 
    7)416
      35
    
    
  • Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 6 from the 416 and place it to the right of the other 6.
    
       5 
    7)416
      35
       66
    
    
  • Divide 66 by 7 and place that answer above the division bracket to the right of the five.
    
       59
    7)416
      35
       66
    
    
  • Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 66. Subtract 63 from 66 to give an answer of 3. The number 3 is called the remainder and indicates that there were three left over.
    
       59 R 3
    7)416
      35
       66
       63
        3
    

Calculator Practice

Dividing numbers is a task everyone does daily. Practice without a pencil and scratch paper builds brain connections. The exercises given are intended to be used as a learning tool to improve mathematical manipulation, and also as practice in the accurate use of a calculator.

Find a practice worksheet HERE.

Find audio support HERE.

Division Table
This division table should be recited from memory without reference to strengthen division principles and memory connections.
Directions: Divide each number on the left side of the table by each number across the top of the table. On the left side is numerator and on the top is the denominator. Where the lines intersect is the quotient of these two numbers. Look for patterns to aid memorization.
 
1
2
3
4
5
6
7
8
9
10
1
1
.5
.333
.25
.2
.166
.142
.125
.111
.1
2
2
1
.666
.5
.4
.333
.285
.25
.222
.2
3
3
1.5
1
.75
.6
.5
.428
.375
.333
.3
4
4
2
1.333
1
.8
.666
.570
.5
.444
.4
5
5
2.5
1.666
1.25
1
.832
.712
.625
.555
.5
6
6
3
2
1.5
1.2
1
.843
.75
.666
.6
7
7
3.5
2.333
1.75
1.4
1.166
1
.875
.777
.7
8
8
4
2.666
2
1.6
1.333
1.142
1
.888
.8
9
9
4.5
3
2.25
1.8
1.5
1.285
1.125
1
.9
10
10
5
3.333
2.5
2
1.666
1.428
1.25
1.111
1
 

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Click HERE to see what is available.

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