We look at the division of 776597 by 38 
We're looking to find how many times 38 goes into 776597.

Step 1:
If we divide 7 by 38, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 38

Advancing to step 2:
If we divide 77 by 38, we get 2 and a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 76 away from 77, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 38

Going ahead to step 3:
When dividing 16 by 38, we get 0 with a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 20.0
The remainder is 16 after subtracting 0 from 16.
Bring next digit (5) of the dividend behind the 16 and repeat the process: 165 / 38

On to step 4:
The number 38 fits into 165 4 times, leaving a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 204.0
If we subtract 152 from 165, we get 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 38

Going ahead to step 5:
If we divide 139 by 38, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 2043.0
Subtracting 114 from 139 leaves us with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 38

Step 6:
The number 38 fits into 257 6 times, leaving a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 20436.0
If we take 228 away from 257, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
38 can be fit into 290 7 times, resulting in a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 20436.7
Deduct 266 from 290 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
If we divide 240 by 38, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 20436.76
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
If we divide 120 by 38, we get 3 and a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 20436.763
If we take 114 away from 120, 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.

Moving on to step 10:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 20436.7631
If we subtract 38 from 60, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
220 divided by 38 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 20436.76315
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
38 can be fit into 300 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 20436.763157
If we take 266 away from 300, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 13:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 20436.7631578
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 14:
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: 20436.76315789
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 20436.76315789, and the remainder is 1.8e-08.