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Question
What is the quotient and remainder when $ 375 $ is divided by $ 15 $ ?
Answer
The quotient is 25 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 2 | 5 |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 0 | |
| | | 7 | 5 |
| | – | 7 | 5 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
1 | 5 | 3 | 7 | 5 |
STEP 1: DIVIDE 3 : 15 = 0 with a remainder of 3
|
| | 0 | | |
1 | 5 | 3 | 7 | 5 |
STEP 2: MULTIPLY 0 · 15 = 0
|
| | 0 | | |
1 | 5 | 3 | 7 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
STEP 5: DIVIDE 37 : 15 = 2 with a remainder of 7
|
| | 0 | 2 | |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
STEP 6: MULTIPLY 2 · 15 = 30
|
| | 0 | 2 | |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| | 3 | 0 | |
STEP 7: SUBTRACT 37 - 30 = 7
|
| | 0 | 2 | |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 0 | |
| | | 7 | |
STEP 8: BRING DOWN
|
| | 0 | 2 | |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 0 | |
| | | 7 | 5 |
STEP 9: DIVIDE 75 : 15 = 5 with a remainder of 0
|
| | 0 | 2 | 5 |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 0 | |
| | | 7 | 5 |
STEP 10: MULTIPLY 5 · 15 = 75
|
| | 0 | 2 | 5 |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 0 | |
| | | 7 | 5 |
| | | 7 | 5 |
STEP 11: SUBTRACT 75 - 75 = 0
|
| | 0 | 2 | 5 |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 0 | |
| | | 7 | 5 |
| | – | 7 | 5 |
| | | | 0 |
STEP 11: SUBTRACT 75 - 75 = 0
|
| | 0 | 2 | 5 |
1 | 5 | 3 | 7 | 5 |
| – | 0 | | |
| | 3 | 7 | |
| – | 3 | 0 | |
| | | 7 | 5 |
| | – | 7 | 5 |
| | | | 0 |
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