We're dividing 35692 by 61 
Let's see how many times 61 fits into 35692.

Advancing to step 1:
61 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 61

On to step 2:
If we divide 35 by 61, we get 0 and a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 61

Advancing to step 3:
If we divide 356 by 61, we get 5 and a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 305 from 356 to get 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 61

Advancing to step 4:
61 goes into 519 8 times with a remainder of 31.
The next digit of our result is 8. 
Result so far: 58.0
Deduct 488 from 519 and we're left with 31.
Grab the next digit (2) from the dividend, add it to 31, then carry on: 312 / 61

Advancing to step 5:
When dividing 312 by 61, we get 5 with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 585.0
The remainder is 7 after subtracting 305 from 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 6:
70 divided by 61 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 585.1
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.

On to step 7:
If we divide 90 by 61, we get 1 and a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 585.11
If we take 61 away from 90, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 585.11 with a remainder of 0.029.