We're dividing 172169 by 77 
We're looking to find how many times 77 goes into 172169.

Let's proceed to step 1:
77 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
If we take 0 away from 1, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 77

Let's proceed to step 2:
If we divide 17 by 77, we get 0 and a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 77

Advancing to step 3:
The number 77 fits into 172 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 154 from 172 leaves us with 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 77

On to step 4:
181 divided by 77 is 2 with a remainder of 27.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtract 154 from 181 to get 27.
Grab the next digit (6) from the dividend, add it to 27, then carry on: 276 / 77

Moving on to step 5:
If we divide 276 by 77, we get 3 and a remainder of 45.
The next digit of our result is 3. 
Result so far: 223.0
If we subtract 231 from 276, we get 45.
Take the next digit (9) from the dividend and append it to 45, then repeat: 459 / 77

Step 6:
77 can be fit into 459 5 times, resulting in a remainder of 74.
The next digit of our result is 5. 
Result so far: 2235.0
If we subtract 385 from 459, we 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.

On to step 7:
If we divide 740 by 77, we get 9 and a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 2235.9
Deduct 693 from 740 and we're left 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.

Step 8:
When dividing 470 by 77, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 2235.96
The remainder is 8 after subtracting 462 from 470.
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 9:
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: 2235.961
If we subtract 77 from 80, we get 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 10:
If we divide 30 by 77, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 2235.961
Subtract 0 from 30 to 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.

Going ahead to step 11:
300 divided by 77 is 3 with a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 2235.96103
Deduct 231 from 300 and we're left 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.

On to step 12:
If we divide 690 by 77, we get 8 and a remainder of 74.
The next digit of our result is 8. 
Result so far: 2235.961038
If we subtract 616 from 690, we 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.

Moving on to step 13:
When dividing 740 by 77, we get 9 with a remainder of 47.
The next digit of our result is 9. 
Result so far: 2235.9610389
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.

Step 14:
When dividing 470 by 77, we get 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 2235.96103896
If we take 462 away from 470, we end up 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.

In conclusion, the division gives 2235.96103896 with a balance of 8e-09.