Divide a 5-Digit Number by a 3-Digit Number
To divide a five-digit number by a three-digit number (for example 36542 ÷ 476), follow these steps:
- Place the divisor (476) before the division bracket and place the dividend (36542) under it.
476)36542
Examine the first three digits of the dividend (365). The number 365 is smaller
than 476 so it can't be divided by 476 to produce a whole number. Next take the
first four digits of the dividend (3654) and determine how many 476's it contains.
The number 3654 contains seven 476's (7*476=3332) but not eight (8*476=3808).
Place the 7 above the division bracket and directly above the 4.
7
476)36542
Multiply the 7 by 476 and place the result (3332) below the 3654 of the dividend.
7
476)36542
3332
Draw a line under the 3332 and subtract it from 3654 (3654-3332 = 322).
Bring down the 2 from the 36542 and place it to the right of the 2 in 322.
7
476)36542
3332
3222
Divide 3222 by 476 and place that answer above the division bracket to the right of the 7.
76
476)36542
3332
3222
Multiply the 6 of the quotient by the divisor (476) to get 2856 and place this
below the 3222. Draw a line under the 2856 and subtract 2856 from 3222 to get an
answer of 366. The number 366 is smaller than the divisor (476) and is called the
"remainder" and indicates that there were 366 left over.
76 R366
476)36542
3332
3222
2856
366
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