We're dividing 691504 by 61 
We want to figure out the number of times 691504 can be divided by 61.

Moving on to step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 61

Let's proceed to step 2:
69 divided by 61 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 8 after subtracting 61 from 69.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 61

On to step 3:
The number 61 fits into 81 1 times, leaving a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 61 from 81, we get 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 61

Step 4:
If we divide 205 by 61, we get 3 and a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 113.0
Subtracting 183 from 205 leaves us with 22.
Append the next digit (0) from the dividend to 22 and continue with: 220 / 61

Advancing to step 5:
When dividing 220 by 61, we get 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 1133.0
The remainder is 37 after subtracting 183 from 220.
Take the next digit (4) from the dividend and append it to 37, then repeat: 374 / 61

On to step 6:
61 can be fit into 374 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 11336.0
The remainder is 8 after subtracting 366 from 374.
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 7:
If we divide 80 by 61, we get 1 and a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 11336.1
Subtract 61 from 80 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 8:
190 divided by 61 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 11336.13
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
When dividing 70 by 61, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 11336.131
Deduct 61 from 70 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
61 can be fit into 90 1 times, resulting in a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 11336.1311
If we subtract 61 from 90, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Our division results in 11336.1311 with a remaining 0.00029.