Question
What is the quotient and remainder when $ 133 $ is divided by $ 28 $ ?
Answer
The quotient is 4 and the remainder is 21.
Explanation
| Division Table | ||||
| 0 | 0 | 4 | ||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 3 | ||
| – | 1 | 1 | 2 | |
| 2 | 1 | |||
|
STEP 0: set up a division table |
||||
| 2 | 8 | 1 | 3 | 3 |
|
STEP 1: DIVIDE 1 : 28 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 2 | 8 | 1 | 3 | 3 |
|
STEP 2: MULTIPLY 0 · 28 = 0 |
||||
| 0 | ||||
| 2 | 8 | 1 | 3 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 5: DIVIDE 13 : 28 = 0 with a remainder of 13 |
||||
| 0 | 0 | |||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 6: MULTIPLY 0 · 28 = 0 |
||||
| 0 | 0 | |||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 13 - 0 = 13 |
||||
| 0 | 0 | |||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 3 | ||
|
STEP 9: DIVIDE 133 : 28 = 4 with a remainder of 21 |
||||
| 0 | 0 | 4 | ||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 3 | ||
|
STEP 10: MULTIPLY 4 · 28 = 112 |
||||
| 0 | 0 | 4 | ||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 3 | ||
| 1 | 1 | 2 | ||
|
STEP 11: SUBTRACT 133 - 112 = 21 |
||||
| 0 | 0 | 4 | ||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 3 | ||
| – | 1 | 1 | 2 | |
| 2 | 1 | |||
|
STEP 11: SUBTRACT 133 - 112 = 21 |
||||
| 0 | 0 | 4 | ||
| 2 | 8 | 1 | 3 | 3 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 3 | ||
| – | 1 | 1 | 2 | |
| 2 | 1 | |||
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