Question
What is the quotient and remainder when $ 318 $ is divided by $ 16 $ ?
Answer
The quotient is 19 and the remainder is 14.
Explanation
| Division Table | ||||
| 0 | 1 | 9 | ||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| – | 1 | 6 | ||
| 1 | 5 | 8 | ||
| – | 1 | 4 | 4 | |
| 1 | 4 | |||
|
STEP 0: set up a division table |
||||
| 1 | 6 | 3 | 1 | 8 |
|
STEP 1: DIVIDE 3 : 16 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 1 | 6 | 3 | 1 | 8 |
|
STEP 2: MULTIPLY 0 · 16 = 0 |
||||
| 0 | ||||
| 1 | 6 | 3 | 1 | 8 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
|
STEP 5: DIVIDE 31 : 16 = 1 with a remainder of 15 |
||||
| 0 | 1 | |||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
|
STEP 6: MULTIPLY 1 · 16 = 16 |
||||
| 0 | 1 | |||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| 1 | 6 | |||
|
STEP 7: SUBTRACT 31 - 16 = 15 |
||||
| 0 | 1 | |||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| – | 1 | 6 | ||
| 1 | 5 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| – | 1 | 6 | ||
| 1 | 5 | 8 | ||
|
STEP 9: DIVIDE 158 : 16 = 9 with a remainder of 14 |
||||
| 0 | 1 | 9 | ||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| – | 1 | 6 | ||
| 1 | 5 | 8 | ||
|
STEP 10: MULTIPLY 9 · 16 = 144 |
||||
| 0 | 1 | 9 | ||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| – | 1 | 6 | ||
| 1 | 5 | 8 | ||
| 1 | 4 | 4 | ||
|
STEP 11: SUBTRACT 158 - 144 = 14 |
||||
| 0 | 1 | 9 | ||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| – | 1 | 6 | ||
| 1 | 5 | 8 | ||
| – | 1 | 4 | 4 | |
| 1 | 4 | |||
|
STEP 11: SUBTRACT 158 - 144 = 14 |
||||
| 0 | 1 | 9 | ||
| 1 | 6 | 3 | 1 | 8 |
| – | 0 | |||
| 3 | 1 | |||
| – | 1 | 6 | ||
| 1 | 5 | 8 | ||
| – | 1 | 4 | 4 | |
| 1 | 4 | |||
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