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What is the quotient and remainder when $ 729 $ is divided by $ 47 $ ?
Answer
The quotient is 15 and the remainder is 24.
Explanation
Division Table
|
| | 0 | 1 | 5 |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| – | 4 | 7 | |
| | 2 | 5 | 9 |
| – | 2 | 3 | 5 |
| | | 2 | 4 |
STEP 0: set up a division table
|
| | | | |
4 | 7 | 7 | 2 | 9 |
STEP 1: DIVIDE 7 : 47 = 0 with a remainder of 7
|
| | 0 | | |
4 | 7 | 7 | 2 | 9 |
STEP 2: MULTIPLY 0 · 47 = 0
|
| | 0 | | |
4 | 7 | 7 | 2 | 9 |
| | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
STEP 5: DIVIDE 72 : 47 = 1 with a remainder of 25
|
| | 0 | 1 | |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
STEP 6: MULTIPLY 1 · 47 = 47
|
| | 0 | 1 | |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| | 4 | 7 | |
STEP 7: SUBTRACT 72 - 47 = 25
|
| | 0 | 1 | |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| – | 4 | 7 | |
| | 2 | 5 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| – | 4 | 7 | |
| | 2 | 5 | 9 |
STEP 9: DIVIDE 259 : 47 = 5 with a remainder of 24
|
| | 0 | 1 | 5 |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| – | 4 | 7 | |
| | 2 | 5 | 9 |
STEP 10: MULTIPLY 5 · 47 = 235
|
| | 0 | 1 | 5 |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| – | 4 | 7 | |
| | 2 | 5 | 9 |
| | 2 | 3 | 5 |
STEP 11: SUBTRACT 259 - 235 = 24
|
| | 0 | 1 | 5 |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| – | 4 | 7 | |
| | 2 | 5 | 9 |
| – | 2 | 3 | 5 |
| | | 2 | 4 |
STEP 11: SUBTRACT 259 - 235 = 24
|
| | 0 | 1 | 5 |
4 | 7 | 7 | 2 | 9 |
| – | 0 | | |
| | 7 | 2 | |
| – | 4 | 7 | |
| | 2 | 5 | 9 |
| – | 2 | 3 | 5 |
| | | 2 | 4 |
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