Dividing a three digit number by a one digit number (for example 413 ÷ 7)
with paper and pencil involves several steps.
- Place the divisor before the division bracket and place the dividend (413) under it.
7)413
- Examine the first digit of the dividend(4). It is smaller than 7 so 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)413
- Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.
5
7)413
35
- Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 3 from
the 413 and place it to the right of the 6.
5
7)413
35
63
- Divide 63 by 7 and place that answer above the division bracket to the right of the
five.
59
7)413
35
63
- Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the
63 under the dividend. Subtract 63 from 63 to give an answer of 0. This indicates that
there is nothing left over and 7 can be evenly divided into 413 to produce a quotient of
59.
59
7)413
35
63
63
0