We look at the division of 125134 by 61 
Our goal is to divide 125134 by 61.

Advancing to step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 61

Advancing to step 2:
12 divided by 61 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 61

On to step 3:
The number 61 fits into 125 2 times, leaving a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 122 from 125 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 61

Advancing to step 4:
If we divide 31 by 61, we get 0 and a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtract 0 from 31 to get 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 61

Step 5:
61 goes into 313 5 times with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 205.0
The remainder is 8 after subtracting 305 from 313.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 61

Moving on to step 6:
The number 61 fits into 84 1 times, leaving a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 2051.0
If we subtract 61 from 84, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
230 divided by 61 is 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 2051.3
The remainder is 47 after subtracting 183 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 8:
If we divide 470 by 61, we get 7 and a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 2051.37
If we take 427 away from 470, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 9:
When dividing 430 by 61, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 2051.377
The remainder is 3 after subtracting 427 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 2051.377 with a remainder of 0.0003.