Question
What is the quotient and remainder when $ 53 $ is divided by $ 16 $ ?
Answer
The quotient is 3 and the remainder is 5.
Explanation
| Division Table | |||
| 0 | 3 | ||
| 1 | 6 | 5 | 3 |
| – | 0 | ||
| 5 | 3 | ||
| – | 4 | 8 | |
| 5 | |||
|
STEP 0: set up a division table |
|||
| 1 | 6 | 5 | 3 |
|
STEP 1: DIVIDE 5 : 16 = 0 with a remainder of 5 |
|||
| 0 | |||
| 1 | 6 | 5 | 3 |
|
STEP 2: MULTIPLY 0 · 16 = 0 |
|||
| 0 | |||
| 1 | 6 | 5 | 3 |
| 0 | |||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||
| 0 | |||
| 1 | 6 | 5 | 3 |
| – | 0 | ||
| 5 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 6 | 5 | 3 |
| – | 0 | ||
| 5 | 3 | ||
|
STEP 5: DIVIDE 53 : 16 = 3 with a remainder of 5 |
|||
| 0 | 3 | ||
| 1 | 6 | 5 | 3 |
| – | 0 | ||
| 5 | 3 | ||
|
STEP 6: MULTIPLY 3 · 16 = 48 |
|||
| 0 | 3 | ||
| 1 | 6 | 5 | 3 |
| – | 0 | ||
| 5 | 3 | ||
| 4 | 8 | ||
|
STEP 7: SUBTRACT 53 - 48 = 5 |
|||
| 0 | 3 | ||
| 1 | 6 | 5 | 3 |
| – | 0 | ||
| 5 | 3 | ||
| – | 4 | 8 | |
| 5 | |||
|
STEP 7: SUBTRACT 53 - 48 = 5 |
|||
| 0 | 3 | ||
| 1 | 6 | 5 | 3 |
| – | 0 | ||
| 5 | 3 | ||
| – | 4 | 8 | |
| 5 | |||
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