We're dividing 35527 by 61 
Our goal is to divide 35527 by 61.

Let's proceed to step 1:
61 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 61

Going ahead to step 2:
When dividing 35 by 61, we get 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 61

On to step 3:
61 goes into 355 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 305 from 355, we get 50.
Bring next digit (2) of the dividend behind the 50 and repeat the process: 502 / 61

Let's proceed to step 4:
61 goes into 502 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 58.0
If we take 488 away from 502, we end up with 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 61

On to step 5:
147 divided by 61 is 2 with a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 582.0
Deduct 122 from 147 and we're left with 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 6:
If we divide 250 by 61, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 582.4
The remainder is 6 after subtracting 244 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
60 divided by 61 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 582.4
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
61 can be fit into 600 9 times, resulting in a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 582.409
The remainder is 51 after subtracting 549 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
If we divide 510 by 61, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 582.4098
Subtracting 488 from 510 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
If we divide 220 by 61, we get 3 and a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 582.40983
The remainder is 37 after subtracting 183 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 11:
370 divided by 61 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 582.409836
If we take 366 away from 370, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
61 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 582.409836
If we subtract 0 from 40, we 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.

Advancing to step 13:
If we divide 400 by 61, we get 6 and a remainder of 34.
The next digit of our result is 6. 
Result so far: 582.40983606
Deduct 366 from 400 and we're left 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.

Our division results in 582.40983606 with a remaining 3.4e-08.