477975 ÷ 19 
We're looking to find how many times 19 goes into 477975.

Moving on to step 1:
19 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 19

Going ahead to step 2:
47 divided by 19 is 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 38 from 47 and we're left with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 19

Advancing to step 3:
19 goes into 97 5 times with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 25.0
The remainder is 2 after subtracting 95 from 97.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 19

Let's proceed to step 4:
19 goes into 29 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 251.0
Deduct 19 from 29 and we're left with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 19

Let's proceed to step 5:
19 can be fit into 107 5 times, resulting in a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 2515.0
If we subtract 95 from 107, we get 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 19

Step 6:
19 goes into 125 6 times with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 25156.0
If we take 114 away from 125, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
110 divided by 19 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 25156.5
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
19 goes into 150 7 times with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 25156.57
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
19 goes into 170 8 times with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 25156.578
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 25156.5789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
19 can be fit into 90 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 25156.57894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
If we divide 140 by 19, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 25156.578947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
19 goes into 70 3 times with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 25156.5789473
Subtracting 57 from 70 leaves us 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.

Step 14:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 25156.57894736
Subtracting 114 from 130 leaves us 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.

After the division, we end up with 25156.57894736 and a remainder of 1.6e-08.