Question
What is the quotient and remainder when $ 456 $ is divided by $ 16 $ ?
Answer
The quotient is 28 and the remainder is 8.
Explanation
| Division Table | ||||
| 0 | 2 | 8 | ||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| – | 3 | 2 | ||
| 1 | 3 | 6 | ||
| – | 1 | 2 | 8 | |
| 8 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 6 | 4 | 5 | 6 |
|
STEP 1: DIVIDE 4 : 16 = 0 with a remainder of 4 |
||||
| 0 | ||||
| 1 | 6 | 4 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 16 = 0 |
||||
| 0 | ||||
| 1 | 6 | 4 | 5 | 6 |
| 0 | ||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||
| 0 | ||||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
|
STEP 5: DIVIDE 45 : 16 = 2 with a remainder of 13 |
||||
| 0 | 2 | |||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
|
STEP 6: MULTIPLY 2 · 16 = 32 |
||||
| 0 | 2 | |||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| 3 | 2 | |||
|
STEP 7: SUBTRACT 45 - 32 = 13 |
||||
| 0 | 2 | |||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| – | 3 | 2 | ||
| 1 | 3 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 2 | |||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| – | 3 | 2 | ||
| 1 | 3 | 6 | ||
|
STEP 9: DIVIDE 136 : 16 = 8 with a remainder of 8 |
||||
| 0 | 2 | 8 | ||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| – | 3 | 2 | ||
| 1 | 3 | 6 | ||
|
STEP 10: MULTIPLY 8 · 16 = 128 |
||||
| 0 | 2 | 8 | ||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| – | 3 | 2 | ||
| 1 | 3 | 6 | ||
| 1 | 2 | 8 | ||
|
STEP 11: SUBTRACT 136 - 128 = 8 |
||||
| 0 | 2 | 8 | ||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| – | 3 | 2 | ||
| 1 | 3 | 6 | ||
| – | 1 | 2 | 8 | |
| 8 | ||||
|
STEP 11: SUBTRACT 136 - 128 = 8 |
||||
| 0 | 2 | 8 | ||
| 1 | 6 | 4 | 5 | 6 |
| – | 0 | |||
| 4 | 5 | |||
| – | 3 | 2 | ||
| 1 | 3 | 6 | ||
| – | 1 | 2 | 8 | |
| 8 | ||||
This page was created using
Long division calculator