We're dividing 419636 by 61 
We want to figure out the number of times 419636 can be divided by 61.

Going ahead to step 1:
If we divide 4 by 61, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 61

Moving on to step 2:
41 divided by 61 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 61

Advancing to step 3:
If we divide 419 by 61, we get 6 and a remainder of 53.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 366 from 419, we get 53.
Append the next digit (6) from the dividend to 53 and continue with: 536 / 61

On to step 4:
61 can be fit into 536 8 times, resulting in a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 68.0
If we take 488 away from 536, we end up with 48.
Bring next digit (3) of the dividend behind the 48 and repeat the process: 483 / 61

Step 5:
483 divided by 61 is 7 with a remainder of 56.
The next digit of our result is 7. 
Result so far: 687.0
If we take 427 away from 483, we end up with 56.
Fetch the next digit (6) from the dividend, attach it to 56 and continue: 566 / 61

Going ahead to step 6:
If we divide 566 by 61, we get 9 and a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 6879.0
If we subtract 549 from 566, we get 17.
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 7:
61 can be fit into 170 2 times, resulting in a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 6879.2
The remainder is 48 after subtracting 122 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 8:
480 divided by 61 is 7 with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 6879.27
The remainder is 53 after subtracting 427 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 9:
61 goes into 530 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 6879.278
Subtract 488 from 530 to get 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 10:
If we divide 420 by 61, we get 6 and a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 6879.2786
If we take 366 away from 420, we end up with 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 11:
61 can be fit into 540 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 6879.27868
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.

Advancing to step 12:
If we divide 520 by 61, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 6879.278688
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 6879.278688, and the remainder is 3.2e-06.