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What is the quotient and remainder when $ 5258 $ is divided by $ 47 $ ?
Answer
The quotient is 111 and the remainder is 41.
Explanation
Division Table
|
| | 0 | 1 | 1 | 1 |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | – | 4 | 7 | |
| | | | 8 | 8 |
| | | – | 4 | 7 |
| | | | 4 | 1 |
STEP 0: set up a division table
|
| | | | | |
4 | 7 | 5 | 2 | 5 | 8 |
STEP 1: DIVIDE 5 : 47 = 0 with a remainder of 5
|
| | 0 | | | |
4 | 7 | 5 | 2 | 5 | 8 |
STEP 2: MULTIPLY 0 · 47 = 0
|
| | 0 | | | |
4 | 7 | 5 | 2 | 5 | 8 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
STEP 5: DIVIDE 52 : 47 = 1 with a remainder of 5
|
| | 0 | 1 | | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
STEP 6: MULTIPLY 1 · 47 = 47
|
| | 0 | 1 | | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| | 4 | 7 | | |
STEP 7: SUBTRACT 52 - 47 = 5
|
| | 0 | 1 | | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
STEP 9: DIVIDE 55 : 47 = 1 with a remainder of 8
|
| | 0 | 1 | 1 | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
STEP 10: MULTIPLY 1 · 47 = 47
|
| | 0 | 1 | 1 | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | | 4 | 7 | |
STEP 11: SUBTRACT 55 - 47 = 8
|
| | 0 | 1 | 1 | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | – | 4 | 7 | |
| | | | 8 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 1 | |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | – | 4 | 7 | |
| | | | 8 | 8 |
STEP 13: DIVIDE 88 : 47 = 1 with a remainder of 41
|
| | 0 | 1 | 1 | 1 |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | – | 4 | 7 | |
| | | | 8 | 8 |
STEP 14: MULTIPLY 1 · 47 = 47
|
| | 0 | 1 | 1 | 1 |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | – | 4 | 7 | |
| | | | 8 | 8 |
| | | | 4 | 7 |
STEP 15: SUBTRACT 88 - 47 = 41
|
| | 0 | 1 | 1 | 1 |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | – | 4 | 7 | |
| | | | 8 | 8 |
| | | – | 4 | 7 |
| | | | 4 | 1 |
STEP 15: SUBTRACT 88 - 47 = 41
|
| | 0 | 1 | 1 | 1 |
4 | 7 | 5 | 2 | 5 | 8 |
| – | 0 | | | |
| | 5 | 2 | | |
| – | 4 | 7 | | |
| | | 5 | 5 | |
| | – | 4 | 7 | |
| | | | 8 | 8 |
| | | – | 4 | 7 |
| | | | 4 | 1 |
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