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Question
What is the quotient and remainder when $ 240 $ is divided by $ 7 $ ?
Answer
The quotient is 34 and the remainder is 2.
Explanation
Division Table
|
| 0 | 3 | 4 |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
– | 2 | 1 | |
| | 3 | 0 |
| – | 2 | 8 |
| | | 2 |
STEP 0: set up a division table
|
| | | |
7 | 2 | 4 | 0 |
STEP 1: DIVIDE 2 : 7 = 0 with a remainder of 2
|
| 0 | | |
7 | 2 | 4 | 0 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| 0 | | |
7 | 2 | 4 | 0 |
| 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | | |
STEP 4: BRING DOWN
|
| 0 | | |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
STEP 5: DIVIDE 24 : 7 = 3 with a remainder of 3
|
| 0 | 3 | |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
STEP 6: MULTIPLY 3 · 7 = 21
|
| 0 | 3 | |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
| 2 | 1 | |
STEP 7: SUBTRACT 24 - 21 = 3
|
| 0 | 3 | |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
– | 2 | 1 | |
| | 3 | |
STEP 8: BRING DOWN
|
| 0 | 3 | |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
– | 2 | 1 | |
| | 3 | 0 |
STEP 9: DIVIDE 30 : 7 = 4 with a remainder of 2
|
| 0 | 3 | 4 |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
– | 2 | 1 | |
| | 3 | 0 |
STEP 10: MULTIPLY 4 · 7 = 28
|
| 0 | 3 | 4 |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
– | 2 | 1 | |
| | 3 | 0 |
| | 2 | 8 |
STEP 11: SUBTRACT 30 - 28 = 2
|
| 0 | 3 | 4 |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
– | 2 | 1 | |
| | 3 | 0 |
| – | 2 | 8 |
| | | 2 |
STEP 11: SUBTRACT 30 - 28 = 2
|
| 0 | 3 | 4 |
7 | 2 | 4 | 0 |
– | 0 | | |
| 2 | 4 | |
– | 2 | 1 | |
| | 3 | 0 |
| – | 2 | 8 |
| | | 2 |
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