Question
What is the quotient and remainder when $ 3833 $ is divided by $ 4 $ ?
Answer
The quotient is 958 and the remainder is 1.
Explanation
| Division Table | ||||
| 0 | 9 | 5 | 8 | |
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| – | 2 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
|
STEP 0: set up a division table |
||||
| 4 | 3 | 8 | 3 | 3 |
|
STEP 1: DIVIDE 3 : 4 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 4 | 3 | 8 | 3 | 3 |
|
STEP 2: MULTIPLY 0 · 4 = 0 |
||||
| 0 | ||||
| 4 | 3 | 8 | 3 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
|
STEP 5: DIVIDE 38 : 4 = 9 with a remainder of 2 |
||||
| 0 | 9 | |||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
|
STEP 6: MULTIPLY 9 · 4 = 36 |
||||
| 0 | 9 | |||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| 3 | 6 | |||
|
STEP 7: SUBTRACT 38 - 36 = 2 |
||||
| 0 | 9 | |||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 9 | |||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
|
STEP 9: DIVIDE 23 : 4 = 5 with a remainder of 3 |
||||
| 0 | 9 | 5 | ||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
|
STEP 10: MULTIPLY 5 · 4 = 20 |
||||
| 0 | 9 | 5 | ||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| 2 | 0 | |||
|
STEP 11: SUBTRACT 23 - 20 = 3 |
||||
| 0 | 9 | 5 | ||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| – | 2 | 0 | ||
| 3 | ||||
| STEP 12: BRING DOWN | ||||
| 0 | 9 | 5 | ||
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| – | 2 | 0 | ||
| 3 | 3 | |||
|
STEP 13: DIVIDE 33 : 4 = 8 with a remainder of 1 |
||||
| 0 | 9 | 5 | 8 | |
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| – | 2 | 0 | ||
| 3 | 3 | |||
|
STEP 14: MULTIPLY 8 · 4 = 32 |
||||
| 0 | 9 | 5 | 8 | |
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| – | 2 | 0 | ||
| 3 | 3 | |||
| 3 | 2 | |||
|
STEP 15: SUBTRACT 33 - 32 = 1 |
||||
| 0 | 9 | 5 | 8 | |
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| – | 2 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
|
STEP 15: SUBTRACT 33 - 32 = 1 |
||||
| 0 | 9 | 5 | 8 | |
| 4 | 3 | 8 | 3 | 3 |
| – | 0 | |||
| 3 | 8 | |||
| – | 3 | 6 | ||
| 2 | 3 | |||
| – | 2 | 0 | ||
| 3 | 3 | |||
| – | 3 | 2 | ||
| 1 | ||||
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