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Question
What is the quotient and remainder when $ 365 $ is divided by $ 5 $ ?
Answer
The quotient is 73 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 7 | 3 |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| – | 3 | 5 | |
| | | 1 | 5 |
| | – | 1 | 5 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
| 5 | 3 | 6 | 5 |
STEP 1: DIVIDE 3 : 5 = 0 with a remainder of 3
|
| | 0 | | |
| 5 | 3 | 6 | 5 |
STEP 2: MULTIPLY 0 · 5 = 0
|
| | 0 | | |
| 5 | 3 | 6 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
STEP 5: DIVIDE 36 : 5 = 7 with a remainder of 1
|
| | 0 | 7 | |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
STEP 6: MULTIPLY 7 · 5 = 35
|
| | 0 | 7 | |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| | 3 | 5 | |
STEP 7: SUBTRACT 36 - 35 = 1
|
| | 0 | 7 | |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| – | 3 | 5 | |
| | | 1 | |
|
STEP 8: BRING DOWN
|
| | 0 | 7 | |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| – | 3 | 5 | |
| | | 1 | 5 |
STEP 9: DIVIDE 15 : 5 = 3 with a remainder of 0
|
| | 0 | 7 | 3 |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| – | 3 | 5 | |
| | | 1 | 5 |
STEP 10: MULTIPLY 3 · 5 = 15
|
| | 0 | 7 | 3 |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| – | 3 | 5 | |
| | | 1 | 5 |
| | | 1 | 5 |
STEP 11: SUBTRACT 15 - 15 = 0
|
| | 0 | 7 | 3 |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| – | 3 | 5 | |
| | | 1 | 5 |
| | – | 1 | 5 |
| | | | 0 |
STEP 11: SUBTRACT 15 - 15 = 0
|
| | 0 | 7 | 3 |
| 5 | 3 | 6 | 5 |
| – | 0 | | |
| | 3 | 6 | |
| – | 3 | 5 | |
| | | 1 | 5 |
| | – | 1 | 5 |
| | | | 0 |
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