We're dividing 38306986 by 434 
We want to figure out the number of times 38306986 can be divided by 434.

Step 1:
The number 434 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 434

Going ahead to step 2:
The number 434 fits into 38 0 times, leaving a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Bring next digit (3) of the dividend behind the 38 and repeat the process: 383 / 434

Let's proceed to step 3:
434 can be fit into 383 0 times, resulting in a remainder of 383.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 383 leaves us with 383.
Append the next digit (0) from the dividend to 383 and continue with: 3830 / 434

Step 4:
434 goes into 3830 8 times with a remainder of 358.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 358 after subtracting 3472 from 3830.
Include the next digit (6) from the dividend after 358, then repeat: 3586 / 434

On to step 5:
434 goes into 3586 8 times with a remainder of 114.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Deduct 3472 from 3586 and we're left with 114.
Include the next digit (9) from the dividend after 114, then repeat: 1149 / 434

On to step 6:
The number 434 fits into 1149 2 times, leaving a remainder of 281.
The number 2 becomes the next digit in our result. 
Result so far: 882.0
The remainder is 281 after subtracting 868 from 1149.
Include the next digit (8) from the dividend after 281, then repeat: 2818 / 434

Moving on to step 7:
If we divide 2818 by 434, we get 6 and a remainder of 214.
Use 6 as the next digit of our solution. 
Result so far: 8826.0
Deduct 2604 from 2818 and we're left with 214.
Bring next digit (6) of the dividend behind the 214 and repeat the process: 2146 / 434

Step 8:
The number 434 fits into 2146 4 times, leaving a remainder of 410.
Put 4 as the next digit of the answer. 
Result so far: 88264.0
Subtracting 1736 from 2146 leaves us with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Let's proceed to step 9:
434 can be fit into 4100 9 times, resulting in a remainder of 194.
Write down 9 as next digit of the result. 
Result so far: 88264.9
Subtract 3906 from 4100 to get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Going ahead to step 10:
434 can be fit into 1940 4 times, resulting in a remainder of 204.
The next digit of our result is 4. 
Result so far: 88264.94
Subtracting 1736 from 1940 leaves us with 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Advancing to step 11:
The number 434 fits into 2040 4 times, leaving a remainder of 304.
The next digit of our result is 4. 
Result so far: 88264.944
If we subtract 1736 from 2040, we get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

The quotient of the division is 88264.944, and the remainder is 0.0304.