Question
What is the quotient and remainder when $ 983 $ is divided by $ 28 $ ?
Answer
The quotient is 35 and the remainder is 3.
Explanation
| Division Table | ||||
| 0 | 3 | 5 | ||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| – | 8 | 4 | ||
| 1 | 4 | 3 | ||
| – | 1 | 4 | 0 | |
| 3 | ||||
|
STEP 0: set up a division table |
||||
| 2 | 8 | 9 | 8 | 3 |
|
STEP 1: DIVIDE 9 : 28 = 0 with a remainder of 9 |
||||
| 0 | ||||
| 2 | 8 | 9 | 8 | 3 |
|
STEP 2: MULTIPLY 0 · 28 = 0 |
||||
| 0 | ||||
| 2 | 8 | 9 | 8 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
||||
| 0 | ||||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
|
STEP 5: DIVIDE 98 : 28 = 3 with a remainder of 14 |
||||
| 0 | 3 | |||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
|
STEP 6: MULTIPLY 3 · 28 = 84 |
||||
| 0 | 3 | |||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| 8 | 4 | |||
|
STEP 7: SUBTRACT 98 - 84 = 14 |
||||
| 0 | 3 | |||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| – | 8 | 4 | ||
| 1 | 4 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 3 | |||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| – | 8 | 4 | ||
| 1 | 4 | 3 | ||
|
STEP 9: DIVIDE 143 : 28 = 5 with a remainder of 3 |
||||
| 0 | 3 | 5 | ||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| – | 8 | 4 | ||
| 1 | 4 | 3 | ||
|
STEP 10: MULTIPLY 5 · 28 = 140 |
||||
| 0 | 3 | 5 | ||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| – | 8 | 4 | ||
| 1 | 4 | 3 | ||
| 1 | 4 | 0 | ||
|
STEP 11: SUBTRACT 143 - 140 = 3 |
||||
| 0 | 3 | 5 | ||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| – | 8 | 4 | ||
| 1 | 4 | 3 | ||
| – | 1 | 4 | 0 | |
| 3 | ||||
|
STEP 11: SUBTRACT 143 - 140 = 3 |
||||
| 0 | 3 | 5 | ||
| 2 | 8 | 9 | 8 | 3 |
| – | 0 | |||
| 9 | 8 | |||
| – | 8 | 4 | ||
| 1 | 4 | 3 | ||
| – | 1 | 4 | 0 | |
| 3 | ||||
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