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Question
What is the quotient and remainder when $ 735 $ is divided by $ 3 $ ?
Answer
The quotient is 245 and the remainder is 0.
Explanation
Division Table
|
| 2 | 4 | 5 |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 5 |
| – | 1 | 5 |
| | | 0 |
STEP 0: set up a division table
|
| | | |
3 | 7 | 3 | 5 |
STEP 1: DIVIDE 7 : 3 = 2 with a remainder of 1
|
| 2 | | |
3 | 7 | 3 | 5 |
STEP 2: MULTIPLY 2 · 3 = 6
|
| 2 | | |
3 | 7 | 3 | 5 |
| 6 | | |
STEP 3: SUBTRACT 7 - 6 = 1
|
| 2 | | |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 2 | | |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
STEP 5: DIVIDE 13 : 3 = 4 with a remainder of 1
|
| 2 | 4 | |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
STEP 6: MULTIPLY 4 · 3 = 12
|
| 2 | 4 | |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
| 1 | 2 | |
STEP 7: SUBTRACT 13 - 12 = 1
|
| 2 | 4 | |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | |
STEP 8: BRING DOWN
|
| 2 | 4 | |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 5 |
STEP 9: DIVIDE 15 : 3 = 5 with a remainder of 0
|
| 2 | 4 | 5 |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 5 |
STEP 10: MULTIPLY 5 · 3 = 15
|
| 2 | 4 | 5 |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 5 |
| | 1 | 5 |
STEP 11: SUBTRACT 15 - 15 = 0
|
| 2 | 4 | 5 |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 5 |
| – | 1 | 5 |
| | | 0 |
STEP 11: SUBTRACT 15 - 15 = 0
|
| 2 | 4 | 5 |
3 | 7 | 3 | 5 |
– | 6 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 5 |
| – | 1 | 5 |
| | | 0 |
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