We look at the division of 7418205 by 838 
We're looking to find how many times 838 goes into 7418205.

Step 1:
838 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 838

Let's proceed to step 2:
If we divide 74 by 838, we get 0 and a remainder of 74.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 74 and we're left with 74.
Include the next digit (1) from the dividend after 74, then repeat: 741 / 838

On to step 3:
741 divided by 838 is 0 with a remainder of 741.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 741 and we're left with 741.
Append the next digit (8) from the dividend to 741 and continue with: 7418 / 838

On to step 4:
The number 838 fits into 7418 8 times, leaving a remainder of 714.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 714 after subtracting 6704 from 7418.
Bring next digit (2) of the dividend behind the 714 and repeat the process: 7142 / 838

On to step 5:
7142 divided by 838 is 8 with a remainder of 438.
Write down 8 as next digit of the result. 
Result so far: 88.0
If we take 6704 away from 7142, we end up with 438.
Include the next digit (0) from the dividend after 438, then repeat: 4380 / 838

On to step 6:
4380 divided by 838 is 5 with a remainder of 190.
Use 5 as the next digit of our solution. 
Result so far: 885.0
Subtract 4190 from 4380 to get 190.
Grab the next digit (5) from the dividend, add it to 190, then carry on: 1905 / 838

Advancing to step 7:
The number 838 fits into 1905 2 times, leaving a remainder of 229.
Put 2 as the next digit of the answer. 
Result so far: 8852.0
If we subtract 1676 from 1905, we get 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Moving on to step 8:
When dividing 2290 by 838, we get 2 with a remainder of 614.
The number 2 becomes the next digit in our result. 
Result so far: 8852.2
If we subtract 1676 from 2290, we get 614.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

Moving on to step 9:
6140 divided by 838 is 7 with a remainder of 274.
The next digit of our result is 7. 
Result so far: 8852.27
If we subtract 5866 from 6140, we get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Let's proceed to step 10:
If we divide 2740 by 838, we get 3 and a remainder of 226.
Record the quotient 3 as the next digit in the result. 
Result so far: 8852.273
Deduct 2514 from 2740 and we're left with 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Moving on to step 11:
If we divide 2260 by 838, we get 2 and a remainder of 584.
The number 2 becomes the next digit in our result. 
Result so far: 8852.2732
If we subtract 1676 from 2260, we get 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Advancing to step 12:
The number 838 fits into 5840 6 times, leaving a remainder of 812.
The next digit of our result is 6. 
Result so far: 8852.27326
If we subtract 5028 from 5840, we get 812.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8120, and continue the process.

On to step 13:
838 can be fit into 8120 9 times, resulting in a remainder of 578.
Record the quotient 9 as the next digit in the result. 
Result so far: 8852.273269
The remainder is 578 after subtracting 7542 from 8120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Going ahead to step 14:
The number 838 fits into 5780 6 times, leaving a remainder of 752.
Put 6 as the next digit of the answer. 
Result so far: 8852.2732696
Deduct 5028 from 5780 and we're left with 752.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7520, and continue the process.

On to step 15:
838 goes into 7520 8 times with a remainder of 816.
Put 8 as the next digit of the answer. 
Result so far: 8852.27326968
If we take 6704 away from 7520, we end up with 816.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8160, and continue the process.

The final outcome is 8852.27326968, with a leftover of 8.16e-07.