Division

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

      1   
276)365420
    276

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).

Divide 894 by 276 and place that answer above the division bracket to the right of the 1.

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.

Divide 662 by 276 and place that answer above the division bracket to the right of the 3.

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).

Divide 1100 by 276 and place that answer above the division bracket to the right of the 2.

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.