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What is the quotient and remainder when $ 748 $ is divided by $ 176 $ ?
Answer
The quotient is 4 and the remainder is 44.
Explanation
Division Table
|
| | | 0 | 0 | 4 |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | – | 0 | |
| | | 7 | 4 | 8 |
| | – | 7 | 0 | 4 |
| | | | 4 | 4 |
STEP 0: set up a division table
|
| | | | | |
1 | 7 | 6 | 7 | 4 | 8 |
STEP 1: DIVIDE 7 : 176 = 0 with a remainder of 7
|
| | | 0 | | |
1 | 7 | 6 | 7 | 4 | 8 |
STEP 2: MULTIPLY 0 · 176 = 0
|
| | | 0 | | |
1 | 7 | 6 | 7 | 4 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
STEP 5: DIVIDE 74 : 176 = 0 with a remainder of 74
|
| | | 0 | 0 | |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
STEP 6: MULTIPLY 0 · 176 = 0
|
| | | 0 | 0 | |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | | 0 | |
STEP 7: SUBTRACT 74 - 0 = 74
|
| | | 0 | 0 | |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | – | 0 | |
| | | 7 | 4 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | – | 0 | |
| | | 7 | 4 | 8 |
STEP 9: DIVIDE 748 : 176 = 4 with a remainder of 44
|
| | | 0 | 0 | 4 |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | – | 0 | |
| | | 7 | 4 | 8 |
STEP 10: MULTIPLY 4 · 176 = 704
|
| | | 0 | 0 | 4 |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | – | 0 | |
| | | 7 | 4 | 8 |
| | | 7 | 0 | 4 |
STEP 11: SUBTRACT 748 - 704 = 44
|
| | | 0 | 0 | 4 |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | – | 0 | |
| | | 7 | 4 | 8 |
| | – | 7 | 0 | 4 |
| | | | 4 | 4 |
STEP 11: SUBTRACT 748 - 704 = 44
|
| | | 0 | 0 | 4 |
1 | 7 | 6 | 7 | 4 | 8 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | – | 0 | |
| | | 7 | 4 | 8 |
| | – | 7 | 0 | 4 |
| | | | 4 | 4 |
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