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Question
What is the quotient and remainder when $ 6782 $ is divided by $ 16 $ ?
Answer
The quotient is 423 and the remainder is 14.
Explanation
Division Table
|
| | 0 | 4 | 2 | 3 |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 2 | |
| | | | 6 | 2 |
| | | – | 4 | 8 |
| | | | 1 | 4 |
STEP 0: set up a division table
|
| | | | | |
1 | 6 | 6 | 7 | 8 | 2 |
STEP 1: DIVIDE 6 : 16 = 0 with a remainder of 6
|
| | 0 | | | |
1 | 6 | 6 | 7 | 8 | 2 |
STEP 2: MULTIPLY 0 · 16 = 0
|
| | 0 | | | |
1 | 6 | 6 | 7 | 8 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
STEP 5: DIVIDE 67 : 16 = 4 with a remainder of 3
|
| | 0 | 4 | | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
STEP 6: MULTIPLY 4 · 16 = 64
|
| | 0 | 4 | | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| | 6 | 4 | | |
STEP 7: SUBTRACT 67 - 64 = 3
|
| | 0 | 4 | | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 4 | | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
STEP 9: DIVIDE 38 : 16 = 2 with a remainder of 6
|
| | 0 | 4 | 2 | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
STEP 10: MULTIPLY 2 · 16 = 32
|
| | 0 | 4 | 2 | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | | 3 | 2 | |
STEP 11: SUBTRACT 38 - 32 = 6
|
| | 0 | 4 | 2 | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 2 | |
| | | | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 4 | 2 | |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 2 | |
| | | | 6 | 2 |
STEP 13: DIVIDE 62 : 16 = 3 with a remainder of 14
|
| | 0 | 4 | 2 | 3 |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 2 | |
| | | | 6 | 2 |
STEP 14: MULTIPLY 3 · 16 = 48
|
| | 0 | 4 | 2 | 3 |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 2 | |
| | | | 6 | 2 |
| | | | 4 | 8 |
STEP 15: SUBTRACT 62 - 48 = 14
|
| | 0 | 4 | 2 | 3 |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 2 | |
| | | | 6 | 2 |
| | | – | 4 | 8 |
| | | | 1 | 4 |
STEP 15: SUBTRACT 62 - 48 = 14
|
| | 0 | 4 | 2 | 3 |
1 | 6 | 6 | 7 | 8 | 2 |
| – | 0 | | | |
| | 6 | 7 | | |
| – | 6 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 2 | |
| | | | 6 | 2 |
| | | – | 4 | 8 |
| | | | 1 | 4 |
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