180 ÷ 51 
Our goal is to divide 180 by 51.

Advancing to step 1:
51 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 51

Going ahead to step 2:
18 divided by 51 is 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 51

Moving on to step 3:
51 can be fit into 180 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 27 after subtracting 153 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 4:
If we divide 270 by 51, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 3.5
If we take 255 away from 270, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 5:
51 can be fit into 150 2 times, resulting in a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 3.52
Subtracting 102 from 150 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 6:
51 can be fit into 480 9 times, resulting in a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 3.529
If we subtract 459 from 480, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
51 goes into 210 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 3.5294
If we take 204 away from 210, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
51 can be fit into 60 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 3.52941
The remainder is 9 after subtracting 51 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
51 goes into 90 1 times with a remainder of 39.
The next digit of our result is 1. 
Result so far: 3.529411
If we take 51 away from 90, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 3.529411, and the remainder is 3.9e-06.