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Question
What is the quotient and remainder when $ 7711 $ is divided by $ 10 $ ?
Answer
The quotient is 771 and the remainder is 1.
Explanation
|
Division Table
|
| | | 0 | 7 | 7 | 1 |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 1 |
| | | | – | 1 | 0 |
| | | | | | 1 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
STEP 1: DIVIDE 7 : 10 = 0 with a remainder of 7
|
| | | 0 | | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
STEP 2: MULTIPLY 0 · 10 = 0
|
| | | 0 | | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
STEP 5: DIVIDE 77 : 10 = 7 with a remainder of 7
|
| | | 0 | 7 | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
STEP 6: MULTIPLY 7 · 10 = 70
|
| | | 0 | 7 | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | | 7 | 0 | | |
STEP 7: SUBTRACT 77 - 70 = 7
|
| | | 0 | 7 | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 7 | | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
STEP 9: DIVIDE 71 : 10 = 7 with a remainder of 1
|
| | | 0 | 7 | 7 | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
STEP 10: MULTIPLY 7 · 10 = 70
|
| | | 0 | 7 | 7 | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | | 7 | 0 | |
STEP 11: SUBTRACT 71 - 70 = 1
|
| | | 0 | 7 | 7 | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 7 | 7 | |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 1 |
STEP 13: DIVIDE 11 : 10 = 1 with a remainder of 1
|
| | | 0 | 7 | 7 | 1 |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 1 |
STEP 14: MULTIPLY 1 · 10 = 10
|
| | | 0 | 7 | 7 | 1 |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 1 |
| | | | | 1 | 0 |
STEP 15: SUBTRACT 11 - 10 = 1
|
| | | 0 | 7 | 7 | 1 |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 1 |
| | | | – | 1 | 0 |
| | | | | | 1 |
STEP 15: SUBTRACT 11 - 10 = 1
|
| | | 0 | 7 | 7 | 1 |
| 1 | 0 | 7 | 7 | 1 | 1 |
| | – | 0 | | | |
| | | 7 | 7 | | |
| | – | 7 | 0 | | |
| | | | 7 | 1 | |
| | | – | 7 | 0 | |
| | | | | 1 | 1 |
| | | | – | 1 | 0 |
| | | | | | 1 |
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