Let's divide 126821 by 61
We want to figure out the number of times 126821 can be divided by 61.

On to step 1:
61 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 61

Let's proceed 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
Subtract 0 from 12 to get 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 61

Advancing to step 3:
126 divided by 61 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 4 after subtracting 122 from 126.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 61

Going ahead to step 4:
The number 61 fits into 48 0 times, leaving a remainder of 48.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we subtract 0 from 48, we get 48.
Fetch the next digit (2) from the dividend, attach it to 48 and continue: 482 / 61

On to step 5:
If we divide 482 by 61, we get 7 and a remainder of 55.
The number 7 becomes the next digit in our result. 
Result so far: 207.0
If we take 427 away from 482, we end up with 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 61

Step 6:
When dividing 551 by 61, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 2079.0
Deduct 549 from 551 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 61 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 2079.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
If we divide 200 by 61, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 2079.03
Subtracting 183 from 200 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
61 can be fit into 170 2 times, resulting in a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 2079.032
Subtracting 122 from 170 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
When dividing 480 by 61, we get 7 with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 2079.0327
If we take 427 away from 480, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 11:
When dividing 530 by 61, we get 8 with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 2079.03278
If we take 488 away from 530, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
61 can be fit into 420 6 times, resulting in a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 2079.032786
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 13:
When dividing 540 by 61, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 2079.0327868
Deduct 488 from 540 and we're left 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.

Let's proceed to step 14:
61 goes into 520 8 times with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 2079.03278688
Subtracting 488 from 520 leaves us 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.

After the division, we end up with 2079.03278688 and a remainder of 3.2e-08.