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Question
What is the quotient and remainder when $ 616 $ is divided by $ 3 $ ?
Answer
The quotient is 205 and the remainder is 1.
Explanation
|
Division Table
|
| | 2 | 0 | 5 |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 5 | |
| | | 1 | |
STEP 0: set up a division table
|
| | | | |
| 3 | 6 | 1 | 6 |
STEP 1: DIVIDE 6 : 3 = 2 with a remainder of 0
|
| | 2 | | |
| 3 | 6 | 1 | 6 |
STEP 2: MULTIPLY 2 · 3 = 6
|
| | 2 | | |
| 3 | 6 | 1 | 6 |
| | 6 | | |
STEP 3: SUBTRACT 6 - 6 = 0
|
| | 2 | | |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 0 | | |
|
STEP 4: BRING DOWN
|
| | 2 | | |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
STEP 5: DIVIDE 1 : 3 = 0 with a remainder of 1
|
| | 2 | 0 | |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
STEP 6: MULTIPLY 0 · 3 = 0
|
| | 2 | 0 | |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| | 0 | | |
STEP 7: SUBTRACT 1 - 0 = 1
|
| | 2 | 0 | |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | | |
|
STEP 8: BRING DOWN
|
| | 2 | 0 | |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 6 | |
STEP 9: DIVIDE 16 : 3 = 5 with a remainder of 1
|
| | 2 | 0 | 5 |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 6 | |
STEP 10: MULTIPLY 5 · 3 = 15
|
| | 2 | 0 | 5 |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 6 | |
| | 1 | 5 | |
STEP 11: SUBTRACT 16 - 15 = 1
|
| | 2 | 0 | 5 |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 5 | |
| | | 1 | |
STEP 11: SUBTRACT 16 - 15 = 1
|
| | 2 | 0 | 5 |
| 3 | 6 | 1 | 6 |
| – | 6 | | |
| | 1 | | |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 5 | |
| | | 1 | |
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