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Question
What is the quotient and remainder when $ 6954 $ is divided by $ 760 $ ?
Answer
The quotient is 9 and the remainder is 114.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 9 |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | – | 0 | |
| | | | 6 | 9 | 5 | 4 |
| | | – | 6 | 8 | 4 | 0 |
| | | | | 1 | 1 | 4 |
STEP 0: set up a division table
|
| | | | | | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
STEP 1: DIVIDE 6 : 760 = 0 with a remainder of 6
|
| | | | 0 | | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
STEP 2: MULTIPLY 0 · 760 = 0
|
| | | | 0 | | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | 0 | | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
STEP 5: DIVIDE 69 : 760 = 0 with a remainder of 69
|
| | | | 0 | 0 | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
STEP 6: MULTIPLY 0 · 760 = 0
|
| | | | 0 | 0 | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 69 - 0 = 69
|
| | | | 0 | 0 | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
STEP 9: DIVIDE 695 : 760 = 0 with a remainder of 695
|
| | | | 0 | 0 | 0 | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
STEP 10: MULTIPLY 0 · 760 = 0
|
| | | | 0 | 0 | 0 | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 695 - 0 = 695
|
| | | | 0 | 0 | 0 | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | – | 0 | |
| | | | 6 | 9 | 5 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | – | 0 | |
| | | | 6 | 9 | 5 | 4 |
STEP 13: DIVIDE 6954 : 760 = 9 with a remainder of 114
|
| | | | 0 | 0 | 0 | 9 |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | – | 0 | |
| | | | 6 | 9 | 5 | 4 |
STEP 14: MULTIPLY 9 · 760 = 6840
|
| | | | 0 | 0 | 0 | 9 |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | – | 0 | |
| | | | 6 | 9 | 5 | 4 |
| | | | 6 | 8 | 4 | 0 |
STEP 15: SUBTRACT 6954 - 6840 = 114
|
| | | | 0 | 0 | 0 | 9 |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | – | 0 | |
| | | | 6 | 9 | 5 | 4 |
| | | – | 6 | 8 | 4 | 0 |
| | | | | 1 | 1 | 4 |
STEP 15: SUBTRACT 6954 - 6840 = 114
|
| | | | 0 | 0 | 0 | 9 |
| 7 | 6 | 0 | 6 | 9 | 5 | 4 |
| | | – | 0 | | | |
| | | | 6 | 9 | | |
| | | | – | 0 | | |
| | | | 6 | 9 | 5 | |
| | | | | – | 0 | |
| | | | 6 | 9 | 5 | 4 |
| | | – | 6 | 8 | 4 | 0 |
| | | | | 1 | 1 | 4 |
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