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Question
What is the quotient and remainder when $ 205 $ is divided by $ 3 $ ?
Answer
The quotient is 68 and the remainder is 1.
Explanation
|
Division Table
|
| | 0 | 6 | 8 |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 5 |
| | – | 2 | 4 |
| | | | 1 |
STEP 0: set up a division table
|
| | | | |
| 3 | 2 | 0 | 5 |
STEP 1: DIVIDE 2 : 3 = 0 with a remainder of 2
|
| | 0 | | |
| 3 | 2 | 0 | 5 |
STEP 2: MULTIPLY 0 · 3 = 0
|
| | 0 | | |
| 3 | 2 | 0 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
STEP 5: DIVIDE 20 : 3 = 6 with a remainder of 2
|
| | 0 | 6 | |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
STEP 6: MULTIPLY 6 · 3 = 18
|
| | 0 | 6 | |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| | 1 | 8 | |
STEP 7: SUBTRACT 20 - 18 = 2
|
| | 0 | 6 | |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 5 |
STEP 9: DIVIDE 25 : 3 = 8 with a remainder of 1
|
| | 0 | 6 | 8 |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 5 |
STEP 10: MULTIPLY 8 · 3 = 24
|
| | 0 | 6 | 8 |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 5 |
| | | 2 | 4 |
STEP 11: SUBTRACT 25 - 24 = 1
|
| | 0 | 6 | 8 |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 5 |
| | – | 2 | 4 |
| | | | 1 |
STEP 11: SUBTRACT 25 - 24 = 1
|
| | 0 | 6 | 8 |
| 3 | 2 | 0 | 5 |
| – | 0 | | |
| | 2 | 0 | |
| – | 1 | 8 | |
| | | 2 | 5 |
| | – | 2 | 4 |
| | | | 1 |
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