Divide a 6-Digit Number by a 2-Digit Number

To divide a six-digit number by a two-digit number (for example 365420 76), follow these steps:

  • Place the divisor (76) before the division bracket and place the dividend (365420) under it.
    •          
      76)365420

  • Examine the first two digits of the dividend (36). The number 36 is smaller than 76 so it can't be divided by 76 to produce a whole number. Next take the first three digits of the dividend (365) and determine how many 76's it contains. The number 365 contains four 76's (76*4=304) but not five (76*5=380). Place the 4 above the division bracket directly above the 5.
    •      4   
      76)365420

  • Multiply the 4 by 76 and place the result (304) below the 365 of the dividend.
    •      4   
      76)365420
         304

  • Draw a line under the 304 and subtract it from 365 (365-304 = 61). Bring down the 4 from the 365420 and place it to the right of the 1 in 61.
    •      4   
      76)365420
         304
          614

  • Divide 614 by 76 and place that answer above the division bracket to the right of the 4.
    •      48  
      76)365420
         304
          614

  • Multiply the 8 of the quotient by the divisor (76) to get 608 and place this below the 614. Draw a line under the 608 and subtract 608 from 614 to get an answer of 6. Bring down the 2 from the 365420 and place it to the right of the 6.
    •      48  
      76)365420
         304
          614
          608
            62

  • Since 62 is smaller than the divisor (76) place a zero (0) above the division bracket next to the 8. Bring down the 0 from the 365420 and place it to the right of the 2 in 62 (620).
    •      480 
      76)365420
         304
          614
          608
            620

  • Divide 620 by 76 and place that answer above the division bracket to the right of the 0.
    •      4808
      76)365420
         304
          614
          608
            620

  • Multiply the 8 of the quotient by the divisor (76) to get 608 and place this below the 620. Draw a line under the 608 and subtract 608 from 620 to get an answer of 12. The number 12 is called the "remainder" and indicates that there were 12 left over.
    •      4808 R12
      76)365420
         304
          614
          608
            620
            608
             12






What is the Quotient and Remainder?

  /     =   R