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Question
What is the quotient and remainder when $ 7067 $ is divided by $ 73 $ ?
Answer
The quotient is 96 and the remainder is 59.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 | 6 |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | – | 6 | 5 | 7 | |
| | | | 4 | 9 | 7 |
| | | – | 4 | 3 | 8 |
| | | | | 5 | 9 |
STEP 0: set up a division table
|
| | | | | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
STEP 1: DIVIDE 7 : 73 = 0 with a remainder of 7
|
| | | 0 | | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
STEP 2: MULTIPLY 0 · 73 = 0
|
| | | 0 | | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 5: DIVIDE 70 : 73 = 0 with a remainder of 70
|
| | | 0 | 0 | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 6: MULTIPLY 0 · 73 = 0
|
| | | 0 | 0 | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 70 - 0 = 70
|
| | | 0 | 0 | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
STEP 9: DIVIDE 706 : 73 = 9 with a remainder of 49
|
| | | 0 | 0 | 9 | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
STEP 10: MULTIPLY 9 · 73 = 657
|
| | | 0 | 0 | 9 | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | | 6 | 5 | 7 | |
STEP 11: SUBTRACT 706 - 657 = 49
|
| | | 0 | 0 | 9 | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | – | 6 | 5 | 7 | |
| | | | 4 | 9 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 9 | |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | – | 6 | 5 | 7 | |
| | | | 4 | 9 | 7 |
STEP 13: DIVIDE 497 : 73 = 6 with a remainder of 59
|
| | | 0 | 0 | 9 | 6 |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | – | 6 | 5 | 7 | |
| | | | 4 | 9 | 7 |
STEP 14: MULTIPLY 6 · 73 = 438
|
| | | 0 | 0 | 9 | 6 |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | – | 6 | 5 | 7 | |
| | | | 4 | 9 | 7 |
| | | | 4 | 3 | 8 |
STEP 15: SUBTRACT 497 - 438 = 59
|
| | | 0 | 0 | 9 | 6 |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | – | 6 | 5 | 7 | |
| | | | 4 | 9 | 7 |
| | | – | 4 | 3 | 8 |
| | | | | 5 | 9 |
STEP 15: SUBTRACT 497 - 438 = 59
|
| | | 0 | 0 | 9 | 6 |
| 7 | 3 | 7 | 0 | 6 | 7 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 6 | |
| | – | 6 | 5 | 7 | |
| | | | 4 | 9 | 7 |
| | | – | 4 | 3 | 8 |
| | | | | 5 | 9 |
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