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Question
What is the quotient and remainder when $ 4061 $ is divided by $ 68 $ ?
Answer
The quotient is 59 and the remainder is 49.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 | 9 |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | – | 3 | 4 | 0 | |
| | | | 6 | 6 | 1 |
| | | – | 6 | 1 | 2 |
| | | | | 4 | 9 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
STEP 1: DIVIDE 4 : 68 = 0 with a remainder of 4
|
| | | 0 | | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
STEP 2: MULTIPLY 0 · 68 = 0
|
| | | 0 | | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
STEP 5: DIVIDE 40 : 68 = 0 with a remainder of 40
|
| | | 0 | 0 | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
STEP 6: MULTIPLY 0 · 68 = 0
|
| | | 0 | 0 | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 40 - 0 = 40
|
| | | 0 | 0 | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
STEP 9: DIVIDE 406 : 68 = 5 with a remainder of 66
|
| | | 0 | 0 | 5 | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
STEP 10: MULTIPLY 5 · 68 = 340
|
| | | 0 | 0 | 5 | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | | 3 | 4 | 0 | |
STEP 11: SUBTRACT 406 - 340 = 66
|
| | | 0 | 0 | 5 | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | – | 3 | 4 | 0 | |
| | | | 6 | 6 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 5 | |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | – | 3 | 4 | 0 | |
| | | | 6 | 6 | 1 |
STEP 13: DIVIDE 661 : 68 = 9 with a remainder of 49
|
| | | 0 | 0 | 5 | 9 |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | – | 3 | 4 | 0 | |
| | | | 6 | 6 | 1 |
STEP 14: MULTIPLY 9 · 68 = 612
|
| | | 0 | 0 | 5 | 9 |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | – | 3 | 4 | 0 | |
| | | | 6 | 6 | 1 |
| | | | 6 | 1 | 2 |
STEP 15: SUBTRACT 661 - 612 = 49
|
| | | 0 | 0 | 5 | 9 |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | – | 3 | 4 | 0 | |
| | | | 6 | 6 | 1 |
| | | – | 6 | 1 | 2 |
| | | | | 4 | 9 |
STEP 15: SUBTRACT 661 - 612 = 49
|
| | | 0 | 0 | 5 | 9 |
| 6 | 8 | 4 | 0 | 6 | 1 |
| | – | 0 | | | |
| | | 4 | 0 | | |
| | | – | 0 | | |
| | | 4 | 0 | 6 | |
| | – | 3 | 4 | 0 | |
| | | | 6 | 6 | 1 |
| | | – | 6 | 1 | 2 |
| | | | | 4 | 9 |
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