We're dividing 9201 by 61 
We want to divide 9201 by 61.

Going ahead to step 1:
When dividing 9 by 61, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 61

Moving on to step 2:
If we divide 92 by 61, we get 1 and a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 61 from 92 and we're left with 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 61

Advancing to step 3:
When dividing 310 by 61, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 5 after subtracting 305 from 310.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 61

Going ahead to step 4:
When dividing 51 by 61, we get 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 150.0
Subtract 0 from 51 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 5:
61 goes into 510 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 150.8
If we take 488 away from 510, we end up 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.

Moving on to step 6:
61 goes into 220 3 times with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 150.83
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.

Step 7:
When dividing 370 by 61, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 150.836
Subtracting 366 from 370 leaves us 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.

Moving on to step 8:
61 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 150.836
Deduct 0 from 40 and we're left 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.

Let's proceed to step 9:
61 goes into 400 6 times with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 150.83606
If we subtract 366 from 400, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
The number 61 fits into 340 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 150.836065
Deduct 305 from 340 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
If we divide 350 by 61, we get 5 and a remainder of 45.
The next digit of our result is 5. 
Result so far: 150.8360655
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 150.8360655 with a remainder of 4.5e-07.