25474 ÷ 61 
Our goal is to divide 25474 by 61.

Going ahead to step 1:
2 divided by 61 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 61

Going ahead to step 2:
When dividing 25 by 61, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Fetch the next digit (4) from the dividend, attach it to 25 and continue: 254 / 61

Let's proceed to step 3:
254 divided by 61 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 244 away from 254, we end up with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 61

Going ahead to step 4:
61 can be fit into 107 1 times, resulting in a remainder of 46.
The next digit of our result is 1. 
Result so far: 41.0
Deduct 61 from 107 and we're left with 46.
Grab the next digit (4) from the dividend, add it to 46, then carry on: 464 / 61

On to step 5:
The number 61 fits into 464 7 times, leaving a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 417.0
Subtracting 427 from 464 leaves us with 37.
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 6:
61 goes into 370 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 417.6
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 7:
40 divided by 61 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 417.6
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
61 can be fit into 400 6 times, resulting in a remainder of 34.
The next digit of our result is 6. 
Result so far: 417.606
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.

On to step 9:
340 divided by 61 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 417.6065
If we take 305 away from 340, we end up 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.

Advancing to step 10:
The number 61 fits into 350 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 417.60655
Subtract 305 from 350 to 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.

After the division, we end up with 417.60655 and a remainder of 4.5e-05.