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``` Return to Top

#### What is the Quotient and Remainder?

 /     =   R