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Question
What is the quotient and remainder when $ 5808 $ is divided by $ 15 $ ?
Answer
The quotient is 387 and the remainder is 3.
Explanation
Division Table
|
| | 0 | 3 | 8 | 7 |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| – | 1 | 2 | 0 | |
| | | 1 | 0 | 8 |
| | – | 1 | 0 | 5 |
| | | | | 3 |
STEP 0: set up a division table
|
| | | | | |
1 | 5 | 5 | 8 | 0 | 8 |
STEP 1: DIVIDE 5 : 15 = 0 with a remainder of 5
|
| | 0 | | | |
1 | 5 | 5 | 8 | 0 | 8 |
STEP 2: MULTIPLY 0 · 15 = 0
|
| | 0 | | | |
1 | 5 | 5 | 8 | 0 | 8 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
STEP 5: DIVIDE 58 : 15 = 3 with a remainder of 13
|
| | 0 | 3 | | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
STEP 6: MULTIPLY 3 · 15 = 45
|
| | 0 | 3 | | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| | 4 | 5 | | |
STEP 7: SUBTRACT 58 - 45 = 13
|
| | 0 | 3 | | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 3 | | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
STEP 9: DIVIDE 130 : 15 = 8 with a remainder of 10
|
| | 0 | 3 | 8 | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
STEP 10: MULTIPLY 8 · 15 = 120
|
| | 0 | 3 | 8 | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| | 1 | 2 | 0 | |
STEP 11: SUBTRACT 130 - 120 = 10
|
| | 0 | 3 | 8 | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| – | 1 | 2 | 0 | |
| | | 1 | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 3 | 8 | |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| – | 1 | 2 | 0 | |
| | | 1 | 0 | 8 |
STEP 13: DIVIDE 108 : 15 = 7 with a remainder of 3
|
| | 0 | 3 | 8 | 7 |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| – | 1 | 2 | 0 | |
| | | 1 | 0 | 8 |
STEP 14: MULTIPLY 7 · 15 = 105
|
| | 0 | 3 | 8 | 7 |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| – | 1 | 2 | 0 | |
| | | 1 | 0 | 8 |
| | | 1 | 0 | 5 |
STEP 15: SUBTRACT 108 - 105 = 3
|
| | 0 | 3 | 8 | 7 |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| – | 1 | 2 | 0 | |
| | | 1 | 0 | 8 |
| | – | 1 | 0 | 5 |
| | | | | 3 |
STEP 15: SUBTRACT 108 - 105 = 3
|
| | 0 | 3 | 8 | 7 |
1 | 5 | 5 | 8 | 0 | 8 |
| – | 0 | | | |
| | 5 | 8 | | |
| – | 4 | 5 | | |
| | 1 | 3 | 0 | |
| – | 1 | 2 | 0 | |
| | | 1 | 0 | 8 |
| | – | 1 | 0 | 5 |
| | | | | 3 |
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