35123694 ÷ 338 
We want to figure out the number of times 35123694 can be divided by 338.

Step 1:
If we divide 3 by 338, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 338

Advancing to step 2:
When dividing 35 by 338, we get 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 338

Moving on to step 3:
If we divide 351 by 338, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 338 from 351 and we're left with 13.
Bring next digit (2) of the dividend behind the 13 and repeat the process: 132 / 338

Moving on to step 4:
132 divided by 338 is 0 with a remainder of 132.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 132 leaves us with 132.
Fetch the next digit (3) from the dividend, attach it to 132 and continue: 1323 / 338

Let's proceed to step 5:
If we divide 1323 by 338, we get 3 and a remainder of 309.
Write down 3 as next digit of the result. 
Result so far: 103.0
If we take 1014 away from 1323, we end up with 309.
Append the next digit (6) from the dividend to 309 and continue with: 3096 / 338

Going ahead to step 6:
3096 divided by 338 is 9 with a remainder of 54.
Put 9 as the next digit of the answer. 
Result so far: 1039.0
If we subtract 3042 from 3096, we get 54.
Take the next digit (9) from the dividend and append it to 54, then repeat: 549 / 338

Going ahead to step 7:
The number 338 fits into 549 1 times, leaving a remainder of 211.
The next digit of our result is 1. 
Result so far: 10391.0
If we subtract 338 from 549, we get 211.
Fetch the next digit (4) from the dividend, attach it to 211 and continue: 2114 / 338

Let's proceed to step 8:
The number 338 fits into 2114 6 times, leaving a remainder of 86.
The next digit of our result is 6. 
Result so far: 103916.0
If we subtract 2028 from 2114, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 9:
860 divided by 338 is 2 with a remainder of 184.
The number 2 becomes the next digit in our result. 
Result so far: 103916.2
The remainder is 184 after subtracting 676 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

On to step 10:
If we divide 1840 by 338, we get 5 and a remainder of 150.
Put 5 as the next digit of the answer. 
Result so far: 103916.25
Subtract 1690 from 1840 to get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Moving on to step 11:
If we divide 1500 by 338, we get 4 and a remainder of 148.
Put 4 as the next digit of the answer. 
Result so far: 103916.254
If we take 1352 away from 1500, we end up with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Going ahead to step 12:
If we divide 1480 by 338, we get 4 and a remainder of 128.
The next digit of our result is 4. 
Result so far: 103916.2544
The remainder is 128 after subtracting 1352 from 1480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

The final outcome is 103916.2544, with a leftover of 0.00128.