We're dividing 41198103 by 604 
We want to divide 41198103 by 604.

Advancing to step 1:
604 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 604

Advancing to step 2:
41 divided by 604 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Take the next digit (1) from the dividend and append it to 41, then repeat: 411 / 604

Advancing to step 3:
When dividing 411 by 604, we get 0 with a remainder of 411.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 411 and we're left with 411.
Bring next digit (9) of the dividend behind the 411 and repeat the process: 4119 / 604

On to step 4:
4119 divided by 604 is 6 with a remainder of 495.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 3624 away from 4119, we end up with 495.
Take the next digit (8) from the dividend and append it to 495, then repeat: 4958 / 604

Advancing to step 5:
4958 divided by 604 is 8 with a remainder of 126.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Subtract 4832 from 4958 to get 126.
Grab the next digit (1) from the dividend, add it to 126, then carry on: 1261 / 604

Moving on to step 6:
1261 divided by 604 is 2 with a remainder of 53.
Use 2 as the next digit of our solution. 
Result so far: 682.0
If we take 1208 away from 1261, we end up with 53.
Grab the next digit (0) from the dividend, add it to 53, then carry on: 530 / 604

Going ahead to step 7:
604 can be fit into 530 0 times, resulting in a remainder of 530.
Write down 0 as next digit of the result. 
Result so far: 6820.0
If we subtract 0 from 530, we get 530.
Take the next digit (3) from the dividend and append it to 530, then repeat: 5303 / 604

Let's proceed to step 8:
If we divide 5303 by 604, we get 8 and a remainder of 471.
Write down 8 as next digit of the result. 
Result so far: 68208.0
Subtract 4832 from 5303 to get 471.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4710, and continue the process.

Let's proceed to step 9:
604 can be fit into 4710 7 times, resulting in a remainder of 482.
Use 7 as the next digit of our solution. 
Result so far: 68208.7
Subtract 4228 from 4710 to get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Going ahead to step 10:
The number 604 fits into 4820 7 times, leaving a remainder of 592.
The number 7 becomes the next digit in our result. 
Result so far: 68208.77
Subtracting 4228 from 4820 leaves us with 592.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5920, and continue the process.

In conclusion, the division gives 68208.77 with a balance of 0.592.