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What is the quotient and remainder when $ 4576 $ is divided by $ 74 $ ?
Answer
The quotient is 61 and the remainder is 62.
Explanation
Division Table
|
| | 0 | 0 | 6 | 1 |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| – | 4 | 4 | 4 | |
| | | 1 | 3 | 6 |
| | | – | 7 | 4 |
| | | | 6 | 2 |
STEP 0: set up a division table
|
| | | | | |
7 | 4 | 4 | 5 | 7 | 6 |
STEP 1: DIVIDE 4 : 74 = 0 with a remainder of 4
|
| | 0 | | | |
7 | 4 | 4 | 5 | 7 | 6 |
STEP 2: MULTIPLY 0 · 74 = 0
|
| | 0 | | | |
7 | 4 | 4 | 5 | 7 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
STEP 5: DIVIDE 45 : 74 = 0 with a remainder of 45
|
| | 0 | 0 | | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
STEP 6: MULTIPLY 0 · 74 = 0
|
| | 0 | 0 | | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | | 0 | | |
STEP 7: SUBTRACT 45 - 0 = 45
|
| | 0 | 0 | | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
STEP 9: DIVIDE 457 : 74 = 6 with a remainder of 13
|
| | 0 | 0 | 6 | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
STEP 10: MULTIPLY 6 · 74 = 444
|
| | 0 | 0 | 6 | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| | 4 | 4 | 4 | |
STEP 11: SUBTRACT 457 - 444 = 13
|
| | 0 | 0 | 6 | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| – | 4 | 4 | 4 | |
| | | 1 | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| – | 4 | 4 | 4 | |
| | | 1 | 3 | 6 |
STEP 13: DIVIDE 136 : 74 = 1 with a remainder of 62
|
| | 0 | 0 | 6 | 1 |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| – | 4 | 4 | 4 | |
| | | 1 | 3 | 6 |
STEP 14: MULTIPLY 1 · 74 = 74
|
| | 0 | 0 | 6 | 1 |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| – | 4 | 4 | 4 | |
| | | 1 | 3 | 6 |
| | | | 7 | 4 |
STEP 15: SUBTRACT 136 - 74 = 62
|
| | 0 | 0 | 6 | 1 |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| – | 4 | 4 | 4 | |
| | | 1 | 3 | 6 |
| | | – | 7 | 4 |
| | | | 6 | 2 |
STEP 15: SUBTRACT 136 - 74 = 62
|
| | 0 | 0 | 6 | 1 |
7 | 4 | 4 | 5 | 7 | 6 |
| – | 0 | | | |
| | 4 | 5 | | |
| | – | 0 | | |
| | 4 | 5 | 7 | |
| – | 4 | 4 | 4 | |
| | | 1 | 3 | 6 |
| | | – | 7 | 4 |
| | | | 6 | 2 |
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