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Question
What is the quotient and remainder when $ 233 $ is divided by $ 3 $ ?
Answer
The quotient is 77 and the remainder is 2.
Explanation
Division Table
|
| 0 | 7 | 7 |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
– | 2 | 1 | |
| | 2 | 3 |
| – | 2 | 1 |
| | | 2 |
STEP 0: set up a division table
|
| | | |
3 | 2 | 3 | 3 |
STEP 1: DIVIDE 2 : 3 = 0 with a remainder of 2
|
| 0 | | |
3 | 2 | 3 | 3 |
STEP 2: MULTIPLY 0 · 3 = 0
|
| 0 | | |
3 | 2 | 3 | 3 |
| 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| 0 | | |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | | |
STEP 4: BRING DOWN
|
| 0 | | |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
STEP 5: DIVIDE 23 : 3 = 7 with a remainder of 2
|
| 0 | 7 | |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
STEP 6: MULTIPLY 7 · 3 = 21
|
| 0 | 7 | |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
| 2 | 1 | |
STEP 7: SUBTRACT 23 - 21 = 2
|
| 0 | 7 | |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
– | 2 | 1 | |
| | 2 | |
STEP 8: BRING DOWN
|
| 0 | 7 | |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
– | 2 | 1 | |
| | 2 | 3 |
STEP 9: DIVIDE 23 : 3 = 7 with a remainder of 2
|
| 0 | 7 | 7 |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
– | 2 | 1 | |
| | 2 | 3 |
STEP 10: MULTIPLY 7 · 3 = 21
|
| 0 | 7 | 7 |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
– | 2 | 1 | |
| | 2 | 3 |
| | 2 | 1 |
STEP 11: SUBTRACT 23 - 21 = 2
|
| 0 | 7 | 7 |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
– | 2 | 1 | |
| | 2 | 3 |
| – | 2 | 1 |
| | | 2 |
STEP 11: SUBTRACT 23 - 21 = 2
|
| 0 | 7 | 7 |
3 | 2 | 3 | 3 |
– | 0 | | |
| 2 | 3 | |
– | 2 | 1 | |
| | 2 | 3 |
| – | 2 | 1 |
| | | 2 |
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