Divide a 6-Digit Number by a 4-Digit Number
To divide a six-digit number by a four-digit number (for example 365420 ÷ 1276), follow these steps:
- Place the divisor (1276) before the division bracket and place the dividend (365420) under it.
1276)365420
- Examine the first four digits of the dividend (3654). The number 3654 is larger than 1276 so it can be
divided by 1276 to produce a whole number. The number 3654 contains two 1276's
(1276*2=2552) but not 3 (1276*3=3828). Place the 2 above the division bracket directly above the 4.
2
1276)365420
- Multiply the 2 by 1276 and place the result (2552) below the 3654 of the dividend.
2
1276)365420
2552
- Draw a line under the 2552 and subtract it from 3654 (3654-2552 = 1102).
2
1276)365420
2552
1102
- Bring down the 2 from the 365420 and place it to the right of the 2 in 1102.
2
1276)365420
2552
11022
- Divide 11022 by 1276 and place that answer above the division bracket to the right of the 2.
28
1276)365420
2552
11022
- Multiply the 8 of the quotient by the divisor (1276) to get 10208 and place
this below the 11022. Draw a line under the 10208 and subtract 10208 from 11022
to get an answer of 814. Bring down the 0 from the 365420 and place it to the right of the 4 in 814.
28
1276)365420
2552
11022
10208
8140
- Divide 8140 by 1276 and place that answer above the division bracket to the right of the 8.
286
1276)365420
2552
11022
10208
8140
- Multiply the 6 of the quotient by the divisor (1276) to get 7656 and place
this below the 8140. Draw a line under the 7656 and subtract 7656 from 8140 to
get an answer of 484. The number 484 is called the "remainder" and indicates that
there were 484 left over.
286 R484
1276)365420
2552
11022
10208
8140
7656
484
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