We look at the division of 377998 by 17 
We're looking to find how many times 17 goes into 377998.

Going ahead to step 1:
The number 17 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 17

Going ahead to step 2:
37 divided by 17 is 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 34 from 37 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 17

Step 3:
When dividing 37 by 17, we get 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 22.0
The remainder is 3 after subtracting 34 from 37.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 17

On to step 4:
39 divided by 17 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 222.0
If we subtract 34 from 39, we get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 17

Advancing to step 5:
17 can be fit into 59 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 2223.0
Subtract 51 from 59 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 17

Going ahead to step 6:
If we divide 88 by 17, we get 5 and a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 22235.0
Deduct 85 from 88 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
30 divided by 17 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 22235.1
Subtract 17 from 30 to 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.

Let's proceed to step 8:
The number 17 fits into 130 7 times, leaving a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 22235.17
If we take 119 away from 130, 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.

Step 9:
When dividing 110 by 17, we get 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 22235.176
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing 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: 22235.1764
Subtracting 68 from 80 leaves us 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.

On to step 11:
17 can be fit into 120 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 22235.17647
The remainder is 1 after subtracting 119 from 120.
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.
Write down 0 as next digit of the result. 
Result so far: 22235.17647
Deduct 0 from 10 and we're left 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.

Moving on to step 13:
17 can be fit into 100 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 22235.1764705
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.

Moving on to step 14:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 22235.17647058
If we subtract 136 from 150, 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.

The final outcome is 22235.17647058, with a leftover of 1.4e-08.