17201 ÷ 77 
Our goal is to divide 17201 by 77.

On to step 1:
77 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 77

Let's proceed to step 2:
77 can be fit into 17 0 times, resulting in a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 77

On to step 3:
When dividing 172 by 77, we get 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 154 from 172, we get 18.
Bring next digit (0) of the dividend behind the 18 and repeat the process: 180 / 77

On to step 4:
77 can be fit into 180 2 times, resulting in a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 22.0
The remainder is 26 after subtracting 154 from 180.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 77

Advancing to step 5:
If we divide 261 by 77, we get 3 and a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 223.0
If we subtract 231 from 261, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 6:
77 goes into 300 3 times with a remainder of 69.
Write down 3 as next digit of the result. 
Result so far: 223.3
The remainder is 69 after subtracting 231 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 7:
77 goes into 690 8 times with a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 223.38
Subtracting 616 from 690 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 8:
If we divide 740 by 77, we get 9 and a remainder of 47.
The next digit of our result is 9. 
Result so far: 223.389
If we take 693 away from 740, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 9:
77 can be fit into 470 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 223.3896
Subtracting 462 from 470 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.

Going ahead to step 10:
77 can be fit into 80 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 223.38961
Subtracting 77 from 80 leaves us 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 11:
30 divided by 77 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 223.38961
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
The number 77 fits into 300 3 times, leaving a remainder of 69.
The next digit of our result is 3. 
Result so far: 223.3896103
If we take 231 away from 300, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 13:
77 can be fit into 690 8 times, resulting in a remainder of 74.
Record the quotient 8 as the next digit in the result. 
Result so far: 223.38961038
Subtract 616 from 690 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The quotient of the division is 223.38961038, and the remainder is 7.4e-08.