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Question
What is the quotient and remainder when $ 4392 $ is divided by $ 61 $ ?
Answer
The quotient is 72 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 7 | 2 |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | – | 4 | 2 | 7 | |
| | | | 1 | 2 | 2 |
| | | – | 1 | 2 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
STEP 1: DIVIDE 4 : 61 = 0 with a remainder of 4
|
| | | 0 | | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
STEP 2: MULTIPLY 0 · 61 = 0
|
| | | 0 | | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
STEP 5: DIVIDE 43 : 61 = 0 with a remainder of 43
|
| | | 0 | 0 | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
STEP 6: MULTIPLY 0 · 61 = 0
|
| | | 0 | 0 | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 43 - 0 = 43
|
| | | 0 | 0 | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
STEP 9: DIVIDE 439 : 61 = 7 with a remainder of 12
|
| | | 0 | 0 | 7 | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
STEP 10: MULTIPLY 7 · 61 = 427
|
| | | 0 | 0 | 7 | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | | 4 | 2 | 7 | |
STEP 11: SUBTRACT 439 - 427 = 12
|
| | | 0 | 0 | 7 | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | – | 4 | 2 | 7 | |
| | | | 1 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 7 | |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | – | 4 | 2 | 7 | |
| | | | 1 | 2 | 2 |
STEP 13: DIVIDE 122 : 61 = 2 with a remainder of 0
|
| | | 0 | 0 | 7 | 2 |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | – | 4 | 2 | 7 | |
| | | | 1 | 2 | 2 |
STEP 14: MULTIPLY 2 · 61 = 122
|
| | | 0 | 0 | 7 | 2 |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | – | 4 | 2 | 7 | |
| | | | 1 | 2 | 2 |
| | | | 1 | 2 | 2 |
STEP 15: SUBTRACT 122 - 122 = 0
|
| | | 0 | 0 | 7 | 2 |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | – | 4 | 2 | 7 | |
| | | | 1 | 2 | 2 |
| | | – | 1 | 2 | 2 |
| | | | | | 0 |
STEP 15: SUBTRACT 122 - 122 = 0
|
| | | 0 | 0 | 7 | 2 |
| 6 | 1 | 4 | 3 | 9 | 2 |
| | – | 0 | | | |
| | | 4 | 3 | | |
| | | – | 0 | | |
| | | 4 | 3 | 9 | |
| | – | 4 | 2 | 7 | |
| | | | 1 | 2 | 2 |
| | | – | 1 | 2 | 2 |
| | | | | | 0 |
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