Let's divide 37768 by 17
Our goal is to divide 37768 by 17.

Moving on to step 1:
When dividing 3 by 17, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 17

On to step 2:
17 goes into 37 2 times with a remainder of 3.
The next digit of our result is 2. 
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

Let's proceed to step 3:
37 divided by 17 is 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtracting 34 from 37 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 17

Advancing to step 4:
17 goes into 36 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 222.0
Deduct 34 from 36 and we're left with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 17

On to step 5:
The number 17 fits into 28 1 times, leaving a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 2221.0
If we subtract 17 from 28, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
If we divide 110 by 17, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 2221.6
Subtracting 102 from 110 leaves us 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.

Moving on to step 7:
When dividing 80 by 17, we get 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 2221.64
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.

Advancing to step 8:
17 can be fit into 120 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 2221.647
If we subtract 119 from 120, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
When dividing 10 by 17, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 2221.647
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.

Step 10:
17 goes into 100 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 2221.64705
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 11:
17 goes into 150 8 times with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 2221.647058
Subtract 136 from 150 to 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:
140 divided by 17 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2221.6470588
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 2221.6470588 and a remainder of 4e-08.