College

Calculate the quotient of [tex]$56,847 \div 51$[/tex].

A. 1,114 R3
B. 1,113 R84
C. 1,114 R33
D. 33 R1,114

Answer :

Sure! Let's solve the division problem [tex]\( 56,847 \div 51 \)[/tex] step by step.

1. Set up the division problem: We need to divide 56,847 by 51.

2. Determine how many times 51 can go into the first few digits of 56,847:
- 51 goes into 56 once (since [tex]\(51 \times 1 = 51\)[/tex]).
- Subtract 51 from 56 which gives 5. Write down the 1 above the line.

3. Bring down the next digit:
- Bring down the next digit, which is 8. Now we have 58.
- 51 goes into 58 once (since [tex]\(51 \times 1 = 51\)[/tex]).
- Subtract 51 from 58 which gives 7. Write down the 1 above the line.

4. Bring down the next digit:
- Bring down the next digit, which is 4. Now we have 74.
- 51 goes into 74 once (since [tex]\(51 \times 1 = 51\)[/tex]).
- Subtract 51 from 74 which gives 23. Write down the 1 above the line.

5. Bring down the next digit:
- Bring down the next digit, which is 7. Now we have 237.
- 51 goes into 237 four times (since [tex]\(51 \times 4 = 204\)[/tex]).
- Subtract 204 from 237 which gives 33. Write down the 4 above the line.

6. Final result:
- The quotient of the division is the numbers you've written above the line: 1,114.
- The remainder is the last number you got after the final subtraction: 33.

Therefore, the quotient of [tex]\( 56,847 \div 51 \)[/tex] is:

[tex]\[
1,114 \, R33
\][/tex]

So the correct answer is:

[tex]\[
\boxed{1,114 \, R33}
\][/tex]