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Question
What is the quotient and remainder when $ 5160 $ is divided by $ 7 $ ?
Answer
The quotient is 737 and the remainder is 1.
Explanation
|
Division Table
|
| | 0 | 7 | 3 | 7 |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | – | 2 | 1 | |
| | | | 5 | 0 |
| | | – | 4 | 9 |
| | | | | 1 |
STEP 0: set up a division table
|
| | | | | |
| 7 | 5 | 1 | 6 | 0 |
STEP 1: DIVIDE 5 : 7 = 0 with a remainder of 5
|
| | 0 | | | |
| 7 | 5 | 1 | 6 | 0 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| | 0 | | | |
| 7 | 5 | 1 | 6 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
STEP 5: DIVIDE 51 : 7 = 7 with a remainder of 2
|
| | 0 | 7 | | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
STEP 6: MULTIPLY 7 · 7 = 49
|
| | 0 | 7 | | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| | 4 | 9 | | |
STEP 7: SUBTRACT 51 - 49 = 2
|
| | 0 | 7 | | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
STEP 9: DIVIDE 26 : 7 = 3 with a remainder of 5
|
| | 0 | 7 | 3 | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
STEP 10: MULTIPLY 3 · 7 = 21
|
| | 0 | 7 | 3 | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | | 2 | 1 | |
STEP 11: SUBTRACT 26 - 21 = 5
|
| | 0 | 7 | 3 | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | – | 2 | 1 | |
| | | | 5 | |
|
STEP 12: BRING DOWN
|
| | 0 | 7 | 3 | |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | – | 2 | 1 | |
| | | | 5 | 0 |
STEP 13: DIVIDE 50 : 7 = 7 with a remainder of 1
|
| | 0 | 7 | 3 | 7 |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | – | 2 | 1 | |
| | | | 5 | 0 |
STEP 14: MULTIPLY 7 · 7 = 49
|
| | 0 | 7 | 3 | 7 |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | – | 2 | 1 | |
| | | | 5 | 0 |
| | | | 4 | 9 |
STEP 15: SUBTRACT 50 - 49 = 1
|
| | 0 | 7 | 3 | 7 |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | – | 2 | 1 | |
| | | | 5 | 0 |
| | | – | 4 | 9 |
| | | | | 1 |
STEP 15: SUBTRACT 50 - 49 = 1
|
| | 0 | 7 | 3 | 7 |
| 7 | 5 | 1 | 6 | 0 |
| – | 0 | | | |
| | 5 | 1 | | |
| – | 4 | 9 | | |
| | | 2 | 6 | |
| | – | 2 | 1 | |
| | | | 5 | 0 |
| | | – | 4 | 9 |
| | | | | 1 |
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