We're dividing 38678414 by 34 
We want to figure out the number of times 38678414 can be divided by 34.

Let's proceed to step 1:
34 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 34

On to step 2:
When dividing 38 by 34, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 34 from 38 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 34

On to step 3:
If we divide 46 by 34, we get 1 and a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 34 from 46, we get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 34

Step 4:
34 can be fit into 127 3 times, resulting in a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 113.0
Deduct 102 from 127 and we're left with 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 34

Step 5:
When dividing 258 by 34, we get 7 with a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 1137.0
If we take 238 away from 258, we end up with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 34

Step 6:
When dividing 204 by 34, we get 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 11376.0
Subtract 204 from 204 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 34

On to step 7:
34 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 113760.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 34

Moving on to step 8:
34 goes into 14 0 times with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 1137600.0
Subtracting 0 from 14 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
If we divide 140 by 34, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1137600.4
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
34 can be fit into 40 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 1137600.41
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 1137600.411
If we subtract 34 from 60, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 1137600.411 with a remainder of 0.0026.