Let's divide 257221 by 61
Our goal is to divide 257221 by 61.

Going ahead to step 1:
The number 61 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 61

Advancing to step 2:
The number 61 fits into 25 0 times, leaving a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 61

Step 3:
61 goes into 257 4 times with a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 244 from 257, we get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 61

On to step 4:
If we divide 132 by 61, we get 2 and a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 10 after subtracting 122 from 132.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 61

Let's proceed to step 5:
61 can be fit into 102 1 times, resulting in a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 421.0
Subtracting 61 from 102 leaves us with 41.
Take the next digit (1) from the dividend and append it to 41, then repeat: 411 / 61

On to step 6:
61 can be fit into 411 6 times, resulting in a remainder of 45.
Put 6 as the next digit of the answer. 
Result so far: 4216.0
The remainder is 45 after subtracting 366 from 411.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
61 goes into 450 7 times with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 4216.7
Deduct 427 from 450 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
If we divide 230 by 61, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 4216.73
Subtract 183 from 230 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 9:
When dividing 470 by 61, we get 7 with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 4216.737
The remainder is 43 after subtracting 427 from 470.
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 10:
When dividing 430 by 61, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 4216.7377
Subtracting 427 from 430 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 4216.7377 and a remainder of 3e-05.