77580135 ÷ 569 
We're looking to find how many times 569 goes into 77580135.

Moving on to step 1:
569 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 569

Moving on to step 2:
When dividing 77 by 569, we get 0 with a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Bring next digit (5) of the dividend behind the 77 and repeat the process: 775 / 569

Let's proceed to step 3:
569 can be fit into 775 1 times, resulting in a remainder of 206.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 569 away from 775, we end up with 206.
Take the next digit (8) from the dividend and append it to 206, then repeat: 2068 / 569

On to step 4:
569 can be fit into 2068 3 times, resulting in a remainder of 361.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 1707 away from 2068, we end up with 361.
Append the next digit (0) from the dividend to 361 and continue with: 3610 / 569

Going ahead to step 5:
569 can be fit into 3610 6 times, resulting in a remainder of 196.
Write down 6 as next digit of the result. 
Result so far: 136.0
Deduct 3414 from 3610 and we're left with 196.
Bring next digit (1) of the dividend behind the 196 and repeat the process: 1961 / 569

Let's proceed to step 6:
569 goes into 1961 3 times with a remainder of 254.
The number 3 becomes the next digit in our result. 
Result so far: 1363.0
The remainder is 254 after subtracting 1707 from 1961.
Bring next digit (3) of the dividend behind the 254 and repeat the process: 2543 / 569

Advancing to step 7:
569 can be fit into 2543 4 times, resulting in a remainder of 267.
Use 4 as the next digit of our solution. 
Result so far: 13634.0
The remainder is 267 after subtracting 2276 from 2543.
Fetch the next digit (5) from the dividend, attach it to 267 and continue: 2675 / 569

Moving on to step 8:
The number 569 fits into 2675 4 times, leaving a remainder of 399.
Put 4 as the next digit of the answer. 
Result so far: 136344.0
Deduct 2276 from 2675 and we're left with 399.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3990, and continue the process.

Going ahead to step 9:
3990 divided by 569 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 136344.7
If we take 3983 away from 3990, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
569 goes into 70 0 times with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 136344.7
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 11:
The number 569 fits into 700 1 times, leaving a remainder of 131.
Put 1 as the next digit of the answer. 
Result so far: 136344.701
Subtracting 569 from 700 leaves us with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Advancing to step 12:
When dividing 1310 by 569, we get 2 with a remainder of 172.
Put 2 as the next digit of the answer. 
Result so far: 136344.7012
The remainder is 172 after subtracting 1138 from 1310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Let's proceed to step 13:
When dividing 1720 by 569, we get 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 136344.70123
The remainder is 13 after subtracting 1707 from 1720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 14:
569 goes into 130 0 times with a remainder of 130.
Use 0 as the next digit of our solution. 
Result so far: 136344.70123
The remainder is 130 after subtracting 0 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Step 15:
If we divide 1300 by 569, we get 2 and a remainder of 162.
The next digit of our result is 2. 
Result so far: 136344.7012302
Subtracting 1138 from 1300 leaves us with 162.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

Advancing to step 16:
569 goes into 1620 2 times with a remainder of 482.
Use 2 as the next digit of our solution. 
Result so far: 136344.70123022
If we subtract 1138 from 1620, we get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

In conclusion, the division gives 136344.70123022 with a balance of 4.82e-07.