77729102 ÷ 559 
We're looking to find how many times 559 goes into 77729102.

Step 1:
559 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 559

Advancing to step 2:
559 can be fit into 77 0 times, resulting in a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Fetch the next digit (7) from the dividend, attach it to 77 and continue: 777 / 559

On to step 3:
559 goes into 777 1 times with a remainder of 218.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 559 from 777 and we're left with 218.
Append the next digit (2) from the dividend to 218 and continue with: 2182 / 559

On to step 4:
When dividing 2182 by 559, we get 3 with a remainder of 505.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we subtract 1677 from 2182, we get 505.
Fetch the next digit (9) from the dividend, attach it to 505 and continue: 5059 / 559

On to step 5:
5059 divided by 559 is 9 with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 139.0
Subtract 5031 from 5059 to get 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 559

Advancing to step 6:
559 goes into 281 0 times with a remainder of 281.
The next digit of our result is 0. 
Result so far: 1390.0
Subtracting 0 from 281 leaves us with 281.
Take the next digit (0) from the dividend and append it to 281, then repeat: 2810 / 559

Let's proceed to step 7:
The number 559 fits into 2810 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 13905.0
Subtracting 2795 from 2810 leaves us with 15.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 559

Let's proceed to step 8:
When dividing 152 by 559, we get 0 with a remainder of 152.
The next digit of our result is 0. 
Result so far: 139050.0
If we subtract 0 from 152, we get 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Going ahead to step 9:
The number 559 fits into 1520 2 times, leaving a remainder of 402.
The number 2 becomes the next digit in our result. 
Result so far: 139050.2
Subtracting 1118 from 1520 leaves us with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Moving on to step 10:
If we divide 4020 by 559, we get 7 and a remainder of 107.
Put 7 as the next digit of the answer. 
Result so far: 139050.27
If we subtract 3913 from 4020, we get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Let's proceed to step 11:
When dividing 1070 by 559, we get 1 with a remainder of 511.
Put 1 as the next digit of the answer. 
Result so far: 139050.271
If we subtract 559 from 1070, we get 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

Let's proceed to step 12:
If we divide 5110 by 559, we get 9 and a remainder of 79.
Write down 9 as next digit of the result. 
Result so far: 139050.2719
Subtract 5031 from 5110 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 13:
The number 559 fits into 790 1 times, leaving a remainder of 231.
The number 1 becomes the next digit in our result. 
Result so far: 139050.27191
Deduct 559 from 790 and we're left with 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Advancing to step 14:
559 can be fit into 2310 4 times, resulting in a remainder of 74.
The next digit of our result is 4. 
Result so far: 139050.271914
If we take 2236 away from 2310, we end up 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.

Going ahead to step 15:
559 goes into 740 1 times with a remainder of 181.
Use 1 as the next digit of our solution. 
Result so far: 139050.2719141
The remainder is 181 after subtracting 559 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Let's proceed to step 16:
The number 559 fits into 1810 3 times, leaving a remainder of 133.
Record the quotient 3 as the next digit in the result. 
Result so far: 139050.27191413
Subtract 1677 from 1810 to get 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

The final result is 139050.27191413 with a remainder of 1.33e-07.