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Question
What is the quotient and remainder when $ 4712 $ is divided by $ 90 $ ?
Answer
The quotient is 52 and the remainder is 32.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 | 2 |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | – | 4 | 5 | 0 | |
| | | | 2 | 1 | 2 |
| | | – | 1 | 8 | 0 |
| | | | | 3 | 2 |
STEP 0: set up a division table
|
| | | | | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
STEP 1: DIVIDE 4 : 90 = 0 with a remainder of 4
|
| | | 0 | | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
STEP 2: MULTIPLY 0 · 90 = 0
|
| | | 0 | | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
STEP 5: DIVIDE 47 : 90 = 0 with a remainder of 47
|
| | | 0 | 0 | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
STEP 6: MULTIPLY 0 · 90 = 0
|
| | | 0 | 0 | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 47 - 0 = 47
|
| | | 0 | 0 | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
STEP 9: DIVIDE 471 : 90 = 5 with a remainder of 21
|
| | | 0 | 0 | 5 | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
STEP 10: MULTIPLY 5 · 90 = 450
|
| | | 0 | 0 | 5 | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | | 4 | 5 | 0 | |
STEP 11: SUBTRACT 471 - 450 = 21
|
| | | 0 | 0 | 5 | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | – | 4 | 5 | 0 | |
| | | | 2 | 1 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 5 | |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | – | 4 | 5 | 0 | |
| | | | 2 | 1 | 2 |
STEP 13: DIVIDE 212 : 90 = 2 with a remainder of 32
|
| | | 0 | 0 | 5 | 2 |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | – | 4 | 5 | 0 | |
| | | | 2 | 1 | 2 |
STEP 14: MULTIPLY 2 · 90 = 180
|
| | | 0 | 0 | 5 | 2 |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | – | 4 | 5 | 0 | |
| | | | 2 | 1 | 2 |
| | | | 1 | 8 | 0 |
STEP 15: SUBTRACT 212 - 180 = 32
|
| | | 0 | 0 | 5 | 2 |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | – | 4 | 5 | 0 | |
| | | | 2 | 1 | 2 |
| | | – | 1 | 8 | 0 |
| | | | | 3 | 2 |
STEP 15: SUBTRACT 212 - 180 = 32
|
| | | 0 | 0 | 5 | 2 |
| 9 | 0 | 4 | 7 | 1 | 2 |
| | – | 0 | | | |
| | | 4 | 7 | | |
| | | – | 0 | | |
| | | 4 | 7 | 1 | |
| | – | 4 | 5 | 0 | |
| | | | 2 | 1 | 2 |
| | | – | 1 | 8 | 0 |
| | | | | 3 | 2 |
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