We're dividing 126251 by 61 
We want to figure out the number of times 126251 can be divided by 61.

Let's proceed to step 1:
61 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 61

Moving on to step 2:
61 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 61

On to step 3:
126 divided by 61 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 122 away from 126, we end up with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 61

Let's proceed to step 4:
61 can be fit into 42 0 times, resulting in a remainder of 42.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 42, we get 42.
Include the next digit (5) from the dividend after 42, then repeat: 425 / 61

Step 5:
The number 61 fits into 425 6 times, leaving a remainder of 59.
The next digit of our result is 6. 
Result so far: 206.0
Subtract 366 from 425 to get 59.
Include the next digit (1) from the dividend after 59, then repeat: 591 / 61

Let's proceed to step 6:
The number 61 fits into 591 9 times, leaving a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 2069.0
The remainder is 42 after subtracting 549 from 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
61 goes into 420 6 times with a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 2069.6
If we subtract 366 from 420, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
61 can be fit into 540 8 times, resulting in a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 2069.68
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 9:
The number 61 fits into 520 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 2069.688
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 2069.688 with a remaining 0.0032.