We divide 682109 by 64
Our goal is to divide 682109 by 64.

Step 1:
64 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 64

On to step 2:
64 can be fit into 68 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 64 from 68 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 64

Let's proceed to step 3:
64 can be fit into 42 0 times, resulting in a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 42, we end up with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 64

Let's proceed to step 4:
421 divided by 64 is 6 with a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 106.0
Subtract 384 from 421 to get 37.
Take the next digit (0) from the dividend and append it to 37, then repeat: 370 / 64

Going ahead to step 5:
The number 64 fits into 370 5 times, leaving a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 1065.0
Subtracting 320 from 370 leaves us with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 64

Let's proceed to step 6:
The number 64 fits into 509 7 times, leaving a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 10657.0
If we take 448 away from 509, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 7:
64 goes into 610 9 times with a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 10657.9
If we take 576 away from 610, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
If we divide 340 by 64, we get 5 and a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 10657.95
Deduct 320 from 340 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
200 divided by 64 is 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 10657.953
Subtract 192 from 200 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
64 can be fit into 80 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 10657.9531
Subtracting 64 from 80 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
The number 64 fits into 160 2 times, leaving a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 10657.95312
If we take 128 away from 160, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
64 can be fit into 320 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 10657.953125
Subtracting 320 from 320 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 13:
64 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10657.953125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 14:
64 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10657.953125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 10657.953125, and the remainder is 0.0.