Divide a 7-Digit Number by a 4-Digit Number
To divide a seven-digit number by a four-digit number (for example 1365420 ÷ 2276), follow these steps:
- Place the divisor (2276) before the division bracket and place the dividend (1365420) under it.
2276)1365420
- Examine the first four digits of the dividend (1365). The number 1365 is smaller than 2276
so it can't be divided by 2276 to produce a whole number. Next take the first five
digits of the dividend (13654) and determine how many 2276's it contains. The number
13654 contains five 2276's (2276*5=11380) but not 6 (2276*6=13656). Place the 5 above
the division bracket directly above the 4.
5
2276)1365420
- Multiply the 5 by 2276 and place the result (11380) below the 13654 of the dividend.
5
2276)1365420
11380
- Draw a line under the 11380 and subtract it from 13654 (13654-11380 = 2274).
5
2276)1365420
11380
2274
- Bring down the 2 from the 1365420 and place it to the right of the 4 in 2274.
5
2276)1365420
11380
22742
- Divide 22742 by 2276 and place that answer above the division bracket to the
right of the 5.
59
2276)1365420
11380
22742
- Multiply the 9 of the quotient by the divisor (2276) to get 20484 and place
this below the 22742. Draw a line under the 20484 and subtract 20484 from 22742
to get an answer of 2258. Bring down the 0 from the 1365420 and place it to the
right of the 8 in 2258.
59
2276)1365420
11380
22742
20484
22580
- Divide 22580 by 2276 and place that answer above the division bracket to the
right of the 9. Bring down the 0 from the 1365420 and place it to the
right of the 8.
599
2276)1365420
11380
22742
20484
22580
- Multiply the 9 of the quotient by the divisor (2276) to get 20484 and place
this below the 22580. Draw a line under the 20484 and subtract 20484 from 22580
to get an answer of 2096. The number 2096 is called the "remainder" and indicates
that there were 2096 left over.
599 R2096
2276)1365420
11380
22742
20484
22580
20484
2096
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