We're dividing 125257 by 61 
We want to figure out the number of times 125257 can be divided by 61.

Moving on to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 61

Going ahead to step 2:
61 goes into 12 0 times with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 61

Moving on to step 3:
When dividing 125 by 61, we get 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 122 from 125, we get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 61

Moving on to step 4:
32 divided by 61 is 0 with a remainder of 32.
The next digit of our result is 0. 
Result so far: 20.0
The remainder is 32 after subtracting 0 from 32.
Bring next digit (5) of the dividend behind the 32 and repeat the process: 325 / 61

Step 5:
61 goes into 325 5 times with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 205.0
If we take 305 away from 325, we end up with 20.
Take the next digit (7) from the dividend and append it to 20, then repeat: 207 / 61

Advancing to step 6:
61 goes into 207 3 times with a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 2053.0
Subtracting 183 from 207 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
If we divide 240 by 61, we get 3 and a remainder of 57.
The next digit of our result is 3. 
Result so far: 2053.3
If we take 183 away from 240, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 8:
When dividing 570 by 61, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 2053.39
If we subtract 549 from 570, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
When dividing 210 by 61, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 2053.393
The remainder is 27 after subtracting 183 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 10:
The number 61 fits into 270 4 times, leaving a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 2053.3934
Subtract 244 from 270 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
When dividing 260 by 61, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 2053.39344
The remainder is 16 after subtracting 244 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 2053.39344, and the remainder is 1.6e-05.