We're dividing 691981 by 65 
We're looking to find how many times 65 goes into 691981.

On to step 1:
6 divided by 65 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 65

Step 2:
When dividing 69 by 65, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 65 from 69, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 65

Let's proceed to step 3:
When dividing 41 by 65, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 65

Step 4:
If we divide 419 by 65, we get 6 and a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
If we subtract 390 from 419, we get 29.
Grab the next digit (8) from the dividend, add it to 29, then carry on: 298 / 65

Going ahead to step 5:
If we divide 298 by 65, we get 4 and a remainder of 38.
The next digit of our result is 4. 
Result so far: 1064.0
Subtract 260 from 298 to get 38.
Fetch the next digit (1) from the dividend, attach it to 38 and continue: 381 / 65

Step 6:
65 goes into 381 5 times with a remainder of 56.
The number 5 becomes the next digit in our result. 
Result so far: 10645.0
If we subtract 325 from 381, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 7:
65 goes into 560 8 times with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 10645.8
Subtracting 520 from 560 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
65 can be fit into 400 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 10645.86
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
When dividing 100 by 65, we get 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 10645.861
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
If we divide 350 by 65, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10645.8615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 11:
If we divide 250 by 65, we get 3 and a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 10645.86153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 12:
If we divide 550 by 65, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 10645.861538
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
65 goes into 300 4 times with a remainder of 40.
The next digit of our result is 4. 
Result so far: 10645.8615384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
400 divided by 65 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 10645.86153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 10645.86153846 with a remaining 1e-08.