638319 ÷ 17 
We're looking to find how many times 17 goes into 638319.

Advancing to step 1:
If we divide 6 by 17, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 17

Moving on to step 2:
63 divided by 17 is 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 51 from 63, we get 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 17

Step 3:
17 can be fit into 128 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we subtract 119 from 128, we get 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 17

Going ahead to step 4:
17 can be fit into 93 5 times, resulting in a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 375.0
If we take 85 away from 93, we end up with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 17

Let's proceed to step 5:
81 divided by 17 is 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 3754.0
If we subtract 68 from 81, we get 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 17

Going ahead to step 6:
17 can be fit into 139 8 times, resulting in a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 37548.0
If we subtract 136 from 139, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 17 fits into 30 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 37548.1
If we subtract 17 from 30, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
130 divided by 17 is 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 37548.17
The remainder is 11 after subtracting 119 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
The number 17 fits into 110 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 37548.176
Deduct 102 from 110 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.

Going ahead to step 10:
17 goes into 80 4 times with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 37548.1764
If we subtract 68 from 80, 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.

Advancing to step 11:
If we divide 120 by 17, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 37548.17647
Subtracting 119 from 120 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 37548.17647
If we take 0 away from 10, we end up 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.

Let's proceed to step 13:
The number 17 fits into 100 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 37548.1764705
If we subtract 85 from 100, we 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.

Going ahead to step 14:
If we divide 150 by 17, we get 8 and a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 37548.17647058
Deduct 136 from 150 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.

After the division, we end up with 37548.17647058 and a remainder of 1.4e-08.