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Question
What is the quotient and remainder when $ 121 $ is divided by $ 7 $ ?
Answer
The quotient is 17 and the remainder is 2.
Explanation
|
Division Table
|
| | 0 | 1 | 7 |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 7 | |
| | | 5 | 1 |
| | – | 4 | 9 |
| | | | 2 |
STEP 0: set up a division table
|
| | | | |
| 7 | 1 | 2 | 1 |
STEP 1: DIVIDE 1 : 7 = 0 with a remainder of 1
|
| | 0 | | |
| 7 | 1 | 2 | 1 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| | 0 | | |
| 7 | 1 | 2 | 1 |
| | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
STEP 5: DIVIDE 12 : 7 = 1 with a remainder of 5
|
| | 0 | 1 | |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
STEP 6: MULTIPLY 1 · 7 = 7
|
| | 0 | 1 | |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | | 7 | |
STEP 7: SUBTRACT 12 - 7 = 5
|
| | 0 | 1 | |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 7 | |
| | | 5 | |
|
STEP 8: BRING DOWN
|
| | 0 | 1 | |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 7 | |
| | | 5 | 1 |
STEP 9: DIVIDE 51 : 7 = 7 with a remainder of 2
|
| | 0 | 1 | 7 |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 7 | |
| | | 5 | 1 |
STEP 10: MULTIPLY 7 · 7 = 49
|
| | 0 | 1 | 7 |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 7 | |
| | | 5 | 1 |
| | | 4 | 9 |
STEP 11: SUBTRACT 51 - 49 = 2
|
| | 0 | 1 | 7 |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 7 | |
| | | 5 | 1 |
| | – | 4 | 9 |
| | | | 2 |
STEP 11: SUBTRACT 51 - 49 = 2
|
| | 0 | 1 | 7 |
| 7 | 1 | 2 | 1 |
| – | 0 | | |
| | 1 | 2 | |
| | – | 7 | |
| | | 5 | 1 |
| | – | 4 | 9 |
| | | | 2 |
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