Let's divide 677362 by 38
We want to divide 677362 by 38.

Moving on to step 1:
6 divided by 38 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 38

On to step 2:
67 divided by 38 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 38 from 67 to get 29.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 38

Advancing to step 3:
38 can be fit into 297 7 times, resulting in a remainder of 31.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 266 from 297, we get 31.
Grab the next digit (3) from the dividend, add it to 31, then carry on: 313 / 38

Let's proceed to step 4:
The number 38 fits into 313 8 times, leaving a remainder of 9.
The next digit of our result is 8. 
Result so far: 178.0
If we take 304 away from 313, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 38

Moving on to step 5:
38 goes into 96 2 times with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 1782.0
The remainder is 20 after subtracting 76 from 96.
Bring next digit (2) of the dividend behind the 20 and repeat the process: 202 / 38

Step 6:
If we divide 202 by 38, we get 5 and a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 17825.0
Deduct 190 from 202 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
When dividing 120 by 38, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 17825.3
If we subtract 114 from 120, we get 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 8:
38 goes into 60 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 17825.31
If we take 38 away from 60, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
38 can be fit into 220 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 17825.315
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
38 goes into 300 7 times with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 17825.3157
If we subtract 266 from 300, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
If we divide 340 by 38, we get 8 and a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 17825.31578
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 12:
When dividing 360 by 38, we get 9 with a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 17825.315789
Subtracting 342 from 360 leaves us 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.

Moving on to step 13:
180 divided by 38 is 4 with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 17825.3157894
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.

Let's proceed to step 14:
If we divide 280 by 38, we get 7 and a remainder of 14.
The next digit of our result is 7. 
Result so far: 17825.31578947
Deduct 266 from 280 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 17825.31578947 with a remainder of 1.4e-08.