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Question
What is the quotient and remainder when $ 557 $ is divided by $ 3 $ ?
Answer
The quotient is 185 and the remainder is 2.
Explanation
|
Division Table
|
| | 1 | 8 | 5 |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | – | 1 | 5 |
| | | | 2 |
STEP 0: set up a division table
|
| | | | |
| 3 | 5 | 5 | 7 |
STEP 1: DIVIDE 5 : 3 = 1 with a remainder of 2
|
| | 1 | | |
| 3 | 5 | 5 | 7 |
STEP 2: MULTIPLY 1 · 3 = 3
|
| | 1 | | |
| 3 | 5 | 5 | 7 |
| | 3 | | |
STEP 3: SUBTRACT 5 - 3 = 2
|
| | 1 | | |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | | |
|
STEP 4: BRING DOWN
|
| | 1 | | |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
STEP 5: DIVIDE 25 : 3 = 8 with a remainder of 1
|
| | 1 | 8 | |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
STEP 6: MULTIPLY 8 · 3 = 24
|
| | 1 | 8 | |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| | 2 | 4 | |
STEP 7: SUBTRACT 25 - 24 = 1
|
| | 1 | 8 | |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | |
|
STEP 8: BRING DOWN
|
| | 1 | 8 | |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
STEP 9: DIVIDE 17 : 3 = 5 with a remainder of 2
|
| | 1 | 8 | 5 |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
STEP 10: MULTIPLY 5 · 3 = 15
|
| | 1 | 8 | 5 |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | | 1 | 5 |
STEP 11: SUBTRACT 17 - 15 = 2
|
| | 1 | 8 | 5 |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | – | 1 | 5 |
| | | | 2 |
STEP 11: SUBTRACT 17 - 15 = 2
|
| | 1 | 8 | 5 |
| 3 | 5 | 5 | 7 |
| – | 3 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | – | 1 | 5 |
| | | | 2 |
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