We look at the division of 410003 by 79 
We're looking to find how many times 79 goes into 410003.

Moving on to step 1:
The number 79 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 79

Going ahead to step 2:
41 divided by 79 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 79

On to step 3:
410 divided by 79 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 15 after subtracting 395 from 410.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 79

Moving on to step 4:
When dividing 150 by 79, we get 1 with a remainder of 71.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we subtract 79 from 150, we get 71.
Append the next digit (0) from the dividend to 71 and continue with: 710 / 79

Let's proceed to step 5:
710 divided by 79 is 8 with a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 518.0
If we take 632 away from 710, we end up with 78.
Grab the next digit (3) from the dividend, add it to 78, then carry on: 783 / 79

Advancing to step 6:
783 divided by 79 is 9 with a remainder of 72.
The next digit of our result is 9. 
Result so far: 5189.0
Subtracting 711 from 783 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 7:
720 divided by 79 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 5189.9
If we subtract 711 from 720, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
The number 79 fits into 90 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 5189.91
If we take 79 away from 90, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
The number 79 fits into 110 1 times, leaving a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 5189.911
Subtract 79 from 110 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 5189.911 with a remainder of 0.0031.