806966 ÷ 38 
Our goal is to divide 806966 by 38.

Let's proceed to step 1:
If we divide 8 by 38, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 38

Going ahead to step 2:
38 can be fit into 80 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 76 from 80 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 38

Step 3:
When dividing 46 by 38, we get 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we subtract 38 from 46, we get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 38

Going ahead to step 4:
38 can be fit into 89 2 times, resulting in a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 212.0
If we take 76 away from 89, we end up with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 38

Going ahead to step 5:
The number 38 fits into 136 3 times, leaving a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 2123.0
If we subtract 114 from 136, we get 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 38

On to step 6:
38 can be fit into 226 5 times, resulting in a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 21235.0
Subtract 190 from 226 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 7:
38 can be fit into 360 9 times, resulting in a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 21235.9
If we take 342 away from 360, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
The number 38 fits into 180 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 21235.94
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
38 can be fit into 280 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 21235.947
If we subtract 266 from 280, we 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.

Going ahead to step 10:
140 divided by 38 is 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 21235.9473
If we subtract 114 from 140, 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.

Let's proceed to step 11:
The number 38 fits into 260 6 times, leaving a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 21235.94736
If we take 228 away from 260, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
38 can be fit into 320 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 21235.947368
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
When dividing 160 by 38, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 21235.9473684
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
If we divide 80 by 38, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 21235.94736842
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 21235.94736842 with a remainder of 4e-09.