We divide 306977 by 38
We want to figure out the number of times 306977 can be divided by 38.

On to step 1:
38 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 38

Advancing to step 2:
When dividing 30 by 38, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Fetch the next digit (6) from the dividend, attach it to 30 and continue: 306 / 38

Let's proceed to step 3:
38 goes into 306 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 2 after subtracting 304 from 306.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 38

Advancing to step 4:
38 can be fit into 29 0 times, resulting in a remainder of 29.
The next digit of our result is 0. 
Result so far: 80.0
Subtracting 0 from 29 leaves us with 29.
Bring next digit (7) of the dividend behind the 29 and repeat the process: 297 / 38

Going ahead to step 5:
38 goes into 297 7 times with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 807.0
Subtracting 266 from 297 leaves us with 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 38

Advancing to step 6:
If we divide 317 by 38, we get 8 and a remainder of 13.
The next digit of our result is 8. 
Result so far: 8078.0
Deduct 304 from 317 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
38 can be fit into 130 3 times, resulting in a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 8078.3
If we take 114 away from 130, 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.

Let's proceed to step 8:
160 divided by 38 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 8078.34
Deduct 152 from 160 and we're left 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.

Step 9:
When dividing 80 by 38, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 8078.342
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.

Advancing to step 10:
40 divided by 38 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 8078.3421
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
20 divided by 38 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 8078.3421
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
If we divide 200 by 38, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8078.342105
Deduct 190 from 200 and we're left 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.

Going ahead to step 13:
38 goes into 100 2 times with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 8078.3421052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
The number 38 fits into 240 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 8078.34210526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 8078.34210526 and a remainder of 1.2e-08.