We look at the division of 79421731 by 409 
Our goal is to divide 79421731 by 409.

Going ahead to step 1:
When dividing 7 by 409, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 409

Moving on to step 2:
409 goes into 79 0 times with a remainder of 79.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 79, we end up with 79.
Bring next digit (4) of the dividend behind the 79 and repeat the process: 794 / 409

Step 3:
When dividing 794 by 409, we get 1 with a remainder of 385.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 409 away from 794, we end up with 385.
Include the next digit (2) from the dividend after 385, then repeat: 3852 / 409

Going ahead to step 4:
3852 divided by 409 is 9 with a remainder of 171.
The next digit of our result is 9. 
Result so far: 19.0
If we take 3681 away from 3852, we end up with 171.
Grab the next digit (1) from the dividend, add it to 171, then carry on: 1711 / 409

Going ahead to step 5:
409 goes into 1711 4 times with a remainder of 75.
Write down 4 as next digit of the result. 
Result so far: 194.0
Deduct 1636 from 1711 and we're left with 75.
Take the next digit (7) from the dividend and append it to 75, then repeat: 757 / 409

Advancing to step 6:
When dividing 757 by 409, we get 1 with a remainder of 348.
Record the quotient 1 as the next digit in the result. 
Result so far: 1941.0
The remainder is 348 after subtracting 409 from 757.
Bring next digit (3) of the dividend behind the 348 and repeat the process: 3483 / 409

On to step 7:
409 can be fit into 3483 8 times, resulting in a remainder of 211.
Put 8 as the next digit of the answer. 
Result so far: 19418.0
Subtracting 3272 from 3483 leaves us with 211.
Grab the next digit (1) from the dividend, add it to 211, then carry on: 2111 / 409

Step 8:
409 can be fit into 2111 5 times, resulting in a remainder of 66.
The number 5 becomes the next digit in our result. 
Result so far: 194185.0
The remainder is 66 after subtracting 2045 from 2111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 9:
The number 409 fits into 660 1 times, leaving a remainder of 251.
The next digit of our result is 1. 
Result so far: 194185.1
The remainder is 251 after subtracting 409 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Step 10:
If we divide 2510 by 409, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 194185.16
If we take 2454 away from 2510, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
409 goes into 560 1 times with a remainder of 151.
Record the quotient 1 as the next digit in the result. 
Result so far: 194185.161
Subtract 409 from 560 to get 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

Going ahead to step 12:
409 goes into 1510 3 times with a remainder of 283.
The number 3 becomes the next digit in our result. 
Result so far: 194185.1613
Subtract 1227 from 1510 to get 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Moving on to step 13:
When dividing 2830 by 409, we get 6 with a remainder of 376.
Use 6 as the next digit of our solution. 
Result so far: 194185.16136
Subtracting 2454 from 2830 leaves us with 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Going ahead to step 14:
The number 409 fits into 3760 9 times, leaving a remainder of 79.
The next digit of our result is 9. 
Result so far: 194185.161369
Deduct 3681 from 3760 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 15:
409 goes into 790 1 times with a remainder of 381.
Put 1 as the next digit of the answer. 
Result so far: 194185.1613691
Subtract 409 from 790 to get 381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3810, and continue the process.

On to step 16:
409 can be fit into 3810 9 times, resulting in a remainder of 129.
Use 9 as the next digit of our solution. 
Result so far: 194185.16136919
If we take 3681 away from 3810, we end up with 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1290, and continue the process.

The quotient of the division is 194185.16136919, and the remainder is 1.29e-07.