55547677 divided by 712 
The aim is to understand the frequency of 712 in 55547677.

On to step 1:
712 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 712

On to step 2:
If we divide 55 by 712, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Grab the next digit (5) from the dividend, add it to 55, then carry on: 555 / 712

Advancing to step 3:
The number 712 fits into 555 0 times, leaving a remainder of 555.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 555, we end up with 555.
Include the next digit (4) from the dividend after 555, then repeat: 5554 / 712

Moving on to step 4:
The number 712 fits into 5554 7 times, leaving a remainder of 570.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 570 after subtracting 4984 from 5554.
Include the next digit (7) from the dividend after 570, then repeat: 5707 / 712

On to step 5:
When dividing 5707 by 712, we get 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 78.0
Subtract 5696 from 5707 to get 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 712

Step 6:
When dividing 116 by 712, we get 0 with a remainder of 116.
Put 0 as the next digit of the answer. 
Result so far: 780.0
Subtract 0 from 116 to get 116.
Bring next digit (7) of the dividend behind the 116 and repeat the process: 1167 / 712

Moving on to step 7:
The number 712 fits into 1167 1 times, leaving a remainder of 455.
Put 1 as the next digit of the answer. 
Result so far: 7801.0
Subtracting 712 from 1167 leaves us with 455.
Bring next digit (7) of the dividend behind the 455 and repeat the process: 4557 / 712

Advancing to step 8:
The number 712 fits into 4557 6 times, leaving a remainder of 285.
The next digit of our result is 6. 
Result so far: 78016.0
The remainder is 285 after subtracting 4272 from 4557.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Going ahead to step 9:
712 can be fit into 2850 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 78016.4
If we subtract 2848 from 2850, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
When dividing 20 by 712, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 78016.4
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
The number 712 fits into 200 0 times, leaving a remainder of 200.
The next digit of our result is 0. 
Result so far: 78016.4
If we take 0 away from 200, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The final outcome is 78016.4, with a leftover of 0.02.