We look at the division of 77601177 by 557 
The aim is to understand the frequency of 557 in 77601177.

Let's proceed to step 1:
557 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 557

Advancing to step 2:
When dividing 77 by 557, we get 0 with a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Include the next digit (6) from the dividend after 77, then repeat: 776 / 557

Moving on to step 3:
The number 557 fits into 776 1 times, leaving a remainder of 219.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 219 after subtracting 557 from 776.
Take the next digit (0) from the dividend and append it to 219, then repeat: 2190 / 557

Advancing to step 4:
557 can be fit into 2190 3 times, resulting in a remainder of 519.
Write down 3 as next digit of the result. 
Result so far: 13.0
The remainder is 519 after subtracting 1671 from 2190.
Take the next digit (1) from the dividend and append it to 519, then repeat: 5191 / 557

Advancing to step 5:
If we divide 5191 by 557, we get 9 and a remainder of 178.
The number 9 becomes the next digit in our result. 
Result so far: 139.0
Subtract 5013 from 5191 to get 178.
Bring next digit (1) of the dividend behind the 178 and repeat the process: 1781 / 557

Step 6:
If we divide 1781 by 557, we get 3 and a remainder of 110.
Record the quotient 3 as the next digit in the result. 
Result so far: 1393.0
Deduct 1671 from 1781 and we're left with 110.
Bring next digit (7) of the dividend behind the 110 and repeat the process: 1107 / 557

Going ahead to step 7:
When dividing 1107 by 557, we get 1 with a remainder of 550.
Record the quotient 1 as the next digit in the result. 
Result so far: 13931.0
Deduct 557 from 1107 and we're left with 550.
Append the next digit (7) from the dividend to 550 and continue with: 5507 / 557

On to step 8:
The number 557 fits into 5507 9 times, leaving a remainder of 494.
Record the quotient 9 as the next digit in the result. 
Result so far: 139319.0
If we take 5013 away from 5507, we end up with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Going ahead to step 9:
When dividing 4940 by 557, we get 8 with a remainder of 484.
Use 8 as the next digit of our solution. 
Result so far: 139319.8
If we take 4456 away from 4940, we end up with 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Step 10:
When dividing 4840 by 557, we get 8 with a remainder of 384.
Write down 8 as next digit of the result. 
Result so far: 139319.88
If we subtract 4456 from 4840, we get 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

The final outcome is 139319.88, with a leftover of 0.384.