201777 ÷ 97 
Our goal is to divide 201777 by 97.

Advancing to step 1:
97 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 97

Step 2:
If we divide 20 by 97, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 20 leaves us with 20.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 97

Let's proceed to step 3:
The number 97 fits into 201 2 times, leaving a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 194 from 201 to get 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 97

On to step 4:
97 goes into 77 0 times with a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 20.0
Deduct 0 from 77 and we're left with 77.
Append the next digit (7) from the dividend to 77 and continue with: 777 / 97

Advancing to step 5:
97 can be fit into 777 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 208.0
If we take 776 away from 777, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 97

Advancing to step 6:
17 divided by 97 is 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 2080.0
The remainder is 17 after subtracting 0 from 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 7:
170 divided by 97 is 1 with a remainder of 73.
Put 1 as the next digit of the answer. 
Result so far: 2080.1
If we take 97 away from 170, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 8:
730 divided by 97 is 7 with a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 2080.17
The remainder is 51 after subtracting 679 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 9:
If we divide 510 by 97, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2080.175
Subtracting 485 from 510 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
97 goes into 250 2 times with a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 2080.1752
Subtract 194 from 250 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 11:
When dividing 560 by 97, we get 5 with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 2080.17525
Deduct 485 from 560 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 12:
If we divide 750 by 97, we get 7 and a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 2080.175257
Subtracting 679 from 750 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 13:
If we divide 710 by 97, we get 7 and a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 2080.1752577
If we subtract 679 from 710, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final outcome is 2080.1752577, with a leftover of 3.1e-07.