Divide a 6-Digit Number by a 4-Digit Number

To divide a six-digit number by a four-digit number (for example 365420 ÷ 1276), follow these steps:

  • Place the divisor (1276) before the division bracket and place the dividend (365420) under it.
    •            
      1276)365420

  • Examine the first four digits of the dividend (3654). The number 3654 is larger than 1276 so it can be divided by 1276 to produce a whole number. The number 3654 contains two 1276's (1276*2=2552) but not 3 (1276*3=3828). Place the 2 above the division bracket directly above the 4.
    •         2  
      1276)365420

  • Multiply the 2 by 1276 and place the result (2552) below the 3654 of the dividend.
    •         2  
      1276)365420
           2552

  • Draw a line under the 2552 and subtract it from 3654 (3654-2552 = 1102).
    •         2  
      1276)365420
           2552
           1102

  • Bring down the 2 from the 365420 and place it to the right of the 2 in 1102.
    •         2  
      1276)365420
           2552
           11022

  • Divide 11022 by 1276 and place that answer above the division bracket to the right of the 2.
    •         28 
      1276)365420
           2552
           11022

  • Multiply the 8 of the quotient by the divisor (1276) to get 10208 and place this below the 11022. Draw a line under the 10208 and subtract 10208 from 11022 to get an answer of 814. Bring down the 0 from the 365420 and place it to the right of the 4 in 814.
    •         28 
      1276)365420
           2552
           11022
           10208
             8140

  • Divide 8140 by 1276 and place that answer above the division bracket to the right of the 8.
    •         286
      1276)365420
           2552
           11022
           10208
             8140

  • Multiply the 6 of the quotient by the divisor (1276) to get 7656 and place this below the 8140. Draw a line under the 7656 and subtract 7656 from 8140 to get an answer of 484. The number 484 is called the "remainder" and indicates that there were 484 left over.
    •         286 R484
      1276)365420
           2552
           11022
           10208
             8140
             7656
              484


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