We're dividing 386420 by 34 
We want to figure out the number of times 386420 can be divided by 34.

On to step 1:
34 can be fit into 3 0 times, resulting in 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.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 34

Advancing to step 2:
38 divided by 34 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 34 away from 38, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 34

Moving on to step 3:
46 divided by 34 is 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 34 away from 46, we end up with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 34

Step 4:
When dividing 124 by 34, we get 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
Deduct 102 from 124 and we're left with 22.
Take the next digit (2) from the dividend and append it to 22, then repeat: 222 / 34

Moving on to step 5:
34 can be fit into 222 6 times, resulting in a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 1136.0
If we take 204 away from 222, we end up with 18.
Bring next digit (0) of the dividend behind the 18 and repeat the process: 180 / 34

Step 6:
When dividing 180 by 34, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 11365.0
Subtracting 170 from 180 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 34 fits into 100 2 times, leaving a remainder of 32.
The next digit of our result is 2. 
Result so far: 11365.2
Subtract 68 from 100 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
34 goes into 320 9 times with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 11365.29
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
When dividing 140 by 34, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 11365.294
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 11365.2941
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 11365.29411
The remainder is 26 after subtracting 34 from 60.
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 outcome is 11365.29411, with a leftover of 2.6e-05.