What is the quotient and remainder when $ 414 $ is divided by $ 18 $ ?
Answer
The quotient is 23 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 2 | 3 | ||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| – | 3 | 6 | ||
| 5 | 4 | |||
| – | 5 | 4 | ||
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 8 | 4 | 1 | 4 |
|
STEP 1: DIVIDE 4 : 18 = 0 with a remainder of 4 |
||||
| 0 | ||||
| 1 | 8 | 4 | 1 | 4 |
|
STEP 2: MULTIPLY 0 · 18 = 0 |
||||
| 0 | ||||
| 1 | 8 | 4 | 1 | 4 |
| 0 | ||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||
| 0 | ||||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
|
STEP 5: DIVIDE 41 : 18 = 2 with a remainder of 5 |
||||
| 0 | 2 | |||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
|
STEP 6: MULTIPLY 2 · 18 = 36 |
||||
| 0 | 2 | |||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| 3 | 6 | |||
|
STEP 7: SUBTRACT 41 - 36 = 5 |
||||
| 0 | 2 | |||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| – | 3 | 6 | ||
| 5 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 2 | |||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| – | 3 | 6 | ||
| 5 | 4 | |||
|
STEP 9: DIVIDE 54 : 18 = 3 with a remainder of 0 |
||||
| 0 | 2 | 3 | ||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| – | 3 | 6 | ||
| 5 | 4 | |||
|
STEP 10: MULTIPLY 3 · 18 = 54 |
||||
| 0 | 2 | 3 | ||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| – | 3 | 6 | ||
| 5 | 4 | |||
| 5 | 4 | |||
|
STEP 11: SUBTRACT 54 - 54 = 0 |
||||
| 0 | 2 | 3 | ||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| – | 3 | 6 | ||
| 5 | 4 | |||
| – | 5 | 4 | ||
| 0 | ||||
|
STEP 11: SUBTRACT 54 - 54 = 0 |
||||
| 0 | 2 | 3 | ||
| 1 | 8 | 4 | 1 | 4 |
| – | 0 | |||
| 4 | 1 | |||
| – | 3 | 6 | ||
| 5 | 4 | |||
| – | 5 | 4 | ||
| 0 | ||||
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