We look at the division of 126821 by 61 
We want to divide 126821 by 61.

Moving on to step 1:
61 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 61

On to step 2:
When dividing 12 by 61, we get 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 61

Let's proceed 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
Deduct 122 from 126 and we're left with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 61

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.
Bring next digit (2) of the dividend behind the 48 and repeat the process: 482 / 61

Going ahead to step 5:
61 can be fit into 482 7 times, resulting in a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 207.0
Subtracting 427 from 482 leaves us with 55.
Fetch the next digit (1) from the dividend, attach it to 55 and continue: 551 / 61

Step 6:
When dividing 551 by 61, we get 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 2079.0
If we take 549 away from 551, we end up 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.

Advancing to step 7:
When dividing 20 by 61, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2079.0
Subtracting 0 from 20 leaves us 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.

Advancing to step 8:
When dividing 200 by 61, we get 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 2079.03
The remainder is 17 after subtracting 183 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 9:
The number 61 fits into 170 2 times, leaving a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 2079.032
Subtract 122 from 170 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
When dividing 480 by 61, we get 7 with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 2079.0327
Deduct 427 from 480 and we're left 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.

Step 11:
61 goes into 530 8 times with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 2079.03278
Deduct 488 from 530 and we're left 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.

Advancing to step 12:
When dividing 420 by 61, we get 6 with a remainder of 54.
The next digit of our result is 6. 
Result so far: 2079.032786
Subtract 366 from 420 to 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.

Going ahead to 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
Subtracting 488 from 540 leaves us 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.

On to step 14:
When dividing 520 by 61, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 2079.03278688
If we subtract 488 from 520, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 2079.03278688, and the remainder is 3.2e-08.