We're dividing 954919 by 38 
We're looking to find how many times 38 goes into 954919.

On to step 1:
When dividing 9 by 38, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 38

On to step 2:
When dividing 95 by 38, we get 2 with a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 76 away from 95, we end up with 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 38

Advancing to step 3:
If we divide 194 by 38, we get 5 and a remainder of 4.
The next digit of our result is 5. 
Result so far: 25.0
Deduct 190 from 194 and we're left with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 38

Step 4:
If we divide 49 by 38, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 251.0
If we take 38 away from 49, we end up with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 38

On to step 5:
111 divided by 38 is 2 with a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 2512.0
If we subtract 76 from 111, we get 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 38

Moving on to step 6:
The number 38 fits into 359 9 times, leaving a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 25129.0
Subtracting 342 from 359 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
The number 38 fits into 170 4 times, leaving a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 25129.4
Subtracting 152 from 170 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.

Advancing to step 8:
When dividing 180 by 38, we get 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 25129.44
Subtracting 152 from 180 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 25129.44, and the remainder is 0.028.