Question

Estimate the quotient 6783÷8

Answer 1

So, to estimate you round to an easy number to work with. In this case, we will round to the ten for the 8, which becomes 10. We will round to the nearest 1,000 for the 6,783, which will become 7,000. Now divide 7,000÷10, the quotient is 700.

Answer 2

1. Set up the long division.
 
  _______
8| 6 7 8 3

2. Calculate 67 ÷ 8, which is 8 with a remainder of 3.

       8
  ________
8| 6 7 8 3 
    6 4
   _______
       3

3. Bring down 8, so that 38 is large enough to be divided by 8.
      
        8
  ________
8| 6 7 8 3 
    6 4
   _______
    3 8

4. Calculate 38 ÷ 8, which is 4 with a remainder of 6.

        8 4
  ________
8| 6 7 8 3 
    6 4
   _______
      3 8
      3 2
_______
          6   3

5. Bring down 3, so that 63 is large enough to be divided by 8. 

       8 4
  ________
8| 6 7 8 3 
    6 4
   _______
      3 8
      3 2
_______
          6   3

6. Calculate 63 ÷ 8, which is 7 with a remainder of 7.


       8 4 7
  ________
8| 6 7 8 3 
    6 4
   _______
      3 8
      3 2
_______
          6 3
          5 6
__________
              7

7. Therefore, 6783 ÷ 8 = 847 with a remainder of 7.
   
847 with a remainder of 7

Fact ( Decimal Form: 847.875)