Question
What is the quotient and remainder when $ 4155 $ is divided by $ 4 $ ?
Answer
The quotient is 1038 and the remainder is 3.
Explanation
| Division Table | ||||
| 1 | 0 | 3 | 8 | |
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| – | 1 | 2 | ||
| 3 | 5 | |||
| – | 3 | 2 | ||
| 3 | ||||
|
STEP 0: set up a division table |
||||
| 4 | 4 | 1 | 5 | 5 |
|
STEP 1: DIVIDE 4 : 4 = 1 with a remainder of 0 |
||||
| 1 | ||||
| 4 | 4 | 1 | 5 | 5 |
|
STEP 2: MULTIPLY 1 · 4 = 4 |
||||
| 1 | ||||
| 4 | 4 | 1 | 5 | 5 |
| 4 | ||||
|
STEP 3: SUBTRACT 4 - 4 = 0 |
||||
| 1 | ||||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 0 | ||||
| STEP 4: BRING DOWN | ||||
| 1 | ||||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
|
STEP 5: DIVIDE 1 : 4 = 0 with a remainder of 1 |
||||
| 1 | 0 | |||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
|
STEP 6: MULTIPLY 0 · 4 = 0 |
||||
| 1 | 0 | |||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| 0 | ||||
|
STEP 7: SUBTRACT 1 - 0 = 1 |
||||
| 1 | 0 | |||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | ||||
| STEP 8: BRING DOWN | ||||
| 1 | 0 | |||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
|
STEP 9: DIVIDE 15 : 4 = 3 with a remainder of 3 |
||||
| 1 | 0 | 3 | ||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
|
STEP 10: MULTIPLY 3 · 4 = 12 |
||||
| 1 | 0 | 3 | ||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| 1 | 2 | |||
|
STEP 11: SUBTRACT 15 - 12 = 3 |
||||
| 1 | 0 | 3 | ||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| – | 1 | 2 | ||
| 3 | ||||
| STEP 12: BRING DOWN | ||||
| 1 | 0 | 3 | ||
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| – | 1 | 2 | ||
| 3 | 5 | |||
|
STEP 13: DIVIDE 35 : 4 = 8 with a remainder of 3 |
||||
| 1 | 0 | 3 | 8 | |
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| – | 1 | 2 | ||
| 3 | 5 | |||
|
STEP 14: MULTIPLY 8 · 4 = 32 |
||||
| 1 | 0 | 3 | 8 | |
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| – | 1 | 2 | ||
| 3 | 5 | |||
| 3 | 2 | |||
|
STEP 15: SUBTRACT 35 - 32 = 3 |
||||
| 1 | 0 | 3 | 8 | |
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| – | 1 | 2 | ||
| 3 | 5 | |||
| – | 3 | 2 | ||
| 3 | ||||
|
STEP 15: SUBTRACT 35 - 32 = 3 |
||||
| 1 | 0 | 3 | 8 | |
| 4 | 4 | 1 | 5 | 5 |
| – | 4 | |||
| 1 | ||||
| – | 0 | |||
| 1 | 5 | |||
| – | 1 | 2 | ||
| 3 | 5 | |||
| – | 3 | 2 | ||
| 3 | ||||
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