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Question
What is the quotient and remainder when $ 544 $ is divided by $ 16 $ ?
Answer
The quotient is 34 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 3 | 4 |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 4 | 8 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 6 | 5 | 4 | 4 |
STEP 1: DIVIDE 5 : 16 = 0 with a remainder of 5
|
| | | 0 | | |
| 1 | 6 | 5 | 4 | 4 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | | 0 | | |
| 1 | 6 | 5 | 4 | 4 |
| | | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
STEP 5: DIVIDE 54 : 16 = 3 with a remainder of 6
|
| | | 0 | 3 | |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
STEP 6: MULTIPLY 3 · 16 = 48
|
| | | 0 | 3 | |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | | 4 | 8 | |
STEP 7: SUBTRACT 54 - 48 = 6
|
| | | 0 | 3 | |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 4 | 8 | |
| | | | 6 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 4 | 8 | |
| | | | 6 | 4 |
STEP 9: DIVIDE 64 : 16 = 4 with a remainder of 0
|
| | | 0 | 3 | 4 |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 4 | 8 | |
| | | | 6 | 4 |
STEP 10: MULTIPLY 4 · 16 = 64
|
| | | 0 | 3 | 4 |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 4 | 8 | |
| | | | 6 | 4 |
| | | | 6 | 4 |
STEP 11: SUBTRACT 64 - 64 = 0
|
| | | 0 | 3 | 4 |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 4 | 8 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
STEP 11: SUBTRACT 64 - 64 = 0
|
| | | 0 | 3 | 4 |
| 1 | 6 | 5 | 4 | 4 |
| | – | 0 | | |
| | | 5 | 4 | |
| | – | 4 | 8 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
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