Divide a 6-Digit Number by a 3-Digit Number
To divide a six-digit number by a three-digit number (for example 365420 � 276), follow these steps:
- Place the divisor (276) before the division bracket and place the dividend (365420) under it.
276)365420
Examine the first 3 digits of the dividend (365). The number 365 is larger than 276 so
it can be divided by 276 to produce a whole number. The number 365 contains one 276
(276*1=276) but not 2 (276*2=552). Place the 1 above the division bracket and directly above the 6.
1
276)365420
Multiply the 1 by 276 and place the result (276) below the 365 of the dividend.
1
276)365420
276
Draw a line under the 276 and subtract it from 365 (365-276 = 89).
1
276)365420
276
89
Since 89 is smaller than 276 bring down the 4 from the 365420 and place it to the right of the 9 in 89 (894).
1
276)365420
276
894
Divide 894 by 276 and place that answer above the division bracket to the right of the 1.
13
276)365420
276
894
Multiply the 3 of the quotient by the divisor (276) to get 828 and place this
below the 894. Draw a line under the 828 and subtract 828 from 894 to get an answer
of 66. Bring down the 2 from the 365420 and place it to the right of the 6.
13
276)365420
276
894
828
662
Divide 662 by 276 and place that answer above the division bracket to the right of the 3.
132
276)365420
276
894
828
662
Multiply the 2 of the quotient by the divisor (276) to get 552 and place this
below the 662. Draw a line under the 552 and subtract 552 from 662 to get an answer
of 110. Bring down the 0 from the 365420 and place it to the right of the 0 in 110 (1100).
132
276)365420
276
894
828
662
552
1100
Divide 1100 by 276 and place that answer above the division bracket to the right of the 2.
1323
276)365420
276
894
828
662
552
1100
Multiply the 3 of the quotient by the divisor (276) to get 828 and place this
below the 1100. Draw a line under the 828 and subtract 828 from 1100 to get a difference
of 272. The 272 is the remainder. Place it above the division bracket after the letter R.
1323 R272
276)365420
276
894
828
662
552
1100
828
272
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