We look at the division of 174229 by 77 
We want to figure out the number of times 174229 can be divided by 77.

On to step 1:
1 divided by 77 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 77

Step 2:
77 goes into 17 0 times with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 77

Let's proceed to step 3:
The number 77 fits into 174 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 154 from 174 leaves us with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 77

Going ahead to step 4:
The number 77 fits into 202 2 times, leaving a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Subtracting 154 from 202 leaves us with 48.
Include the next digit (2) from the dividend after 48, then repeat: 482 / 77

Going ahead to step 5:
482 divided by 77 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 226.0
Deduct 462 from 482 and we're left with 20.
Fetch the next digit (9) from the dividend, attach it to 20 and continue: 209 / 77

Advancing to step 6:
209 divided by 77 is 2 with a remainder of 55.
The number 2 becomes the next digit in our result. 
Result so far: 2262.0
The remainder is 55 after subtracting 154 from 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
When dividing 550 by 77, we get 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 2262.7
If we take 539 away from 550, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 77 fits into 110 1 times, leaving a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 2262.71
Deduct 77 from 110 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 9:
77 goes into 330 4 times with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 2262.714
Deduct 308 from 330 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
When dividing 220 by 77, we get 2 with a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 2262.7142
If we subtract 154 from 220, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 11:
77 goes into 660 8 times with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 2262.71428
If we take 616 away from 660, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
If we divide 440 by 77, we get 5 and a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 2262.714285
Deduct 385 from 440 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 13:
The number 77 fits into 550 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 2262.7142857
Subtracting 539 from 550 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 14:
77 can be fit into 110 1 times, resulting in a remainder of 33.
The next digit of our result is 1. 
Result so far: 2262.71428571
If we subtract 77 from 110, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 2262.71428571, and the remainder is 3.3e-08.