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Question
What is the quotient and remainder when $ 357 $ is divided by $ 16 $ ?
Answer
The quotient is 22 and the remainder is 5.
Explanation
|
Division Table
|
| | | 0 | 2 | 2 |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | – | 3 | 2 | |
| | | | 3 | 7 |
| | | – | 3 | 2 |
| | | | | 5 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 6 | 3 | 5 | 7 |
STEP 1: DIVIDE 3 : 16 = 0 with a remainder of 3
|
| | | 0 | | |
| 1 | 6 | 3 | 5 | 7 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | | 0 | | |
| 1 | 6 | 3 | 5 | 7 |
| | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
STEP 5: DIVIDE 35 : 16 = 2 with a remainder of 3
|
| | | 0 | 2 | |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
STEP 6: MULTIPLY 2 · 16 = 32
|
| | | 0 | 2 | |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | | 3 | 2 | |
STEP 7: SUBTRACT 35 - 32 = 3
|
| | | 0 | 2 | |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | – | 3 | 2 | |
| | | | 3 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | – | 3 | 2 | |
| | | | 3 | 7 |
STEP 9: DIVIDE 37 : 16 = 2 with a remainder of 5
|
| | | 0 | 2 | 2 |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | – | 3 | 2 | |
| | | | 3 | 7 |
STEP 10: MULTIPLY 2 · 16 = 32
|
| | | 0 | 2 | 2 |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | – | 3 | 2 | |
| | | | 3 | 7 |
| | | | 3 | 2 |
STEP 11: SUBTRACT 37 - 32 = 5
|
| | | 0 | 2 | 2 |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | – | 3 | 2 | |
| | | | 3 | 7 |
| | | – | 3 | 2 |
| | | | | 5 |
STEP 11: SUBTRACT 37 - 32 = 5
|
| | | 0 | 2 | 2 |
| 1 | 6 | 3 | 5 | 7 |
| | – | 0 | | |
| | | 3 | 5 | |
| | – | 3 | 2 | |
| | | | 3 | 7 |
| | | – | 3 | 2 |
| | | | | 5 |
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