75946556 ÷ 125 
We want to figure out the number of times 75946556 can be divided by 125.

Moving on to step 1:
7 divided by 125 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 125

Advancing to step 2:
125 can be fit into 75 0 times, resulting in a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 75 leaves us with 75.
Grab the next digit (9) from the dividend, add it to 75, then carry on: 759 / 125

Advancing to step 3:
When dividing 759 by 125, we get 6 with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 9 after subtracting 750 from 759.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 125

Advancing to step 4:
The number 125 fits into 94 0 times, leaving a remainder of 94.
Use 0 as the next digit of our solution. 
Result so far: 60.0
Subtracting 0 from 94 leaves us with 94.
Append the next digit (6) from the dividend to 94 and continue with: 946 / 125

Let's proceed to step 5:
125 goes into 946 7 times with a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 607.0
Subtracting 875 from 946 leaves us with 71.
Grab the next digit (5) from the dividend, add it to 71, then carry on: 715 / 125

Going ahead to step 6:
715 divided by 125 is 5 with a remainder of 90.
The next digit of our result is 5. 
Result so far: 6075.0
If we subtract 625 from 715, we get 90.
Include the next digit (5) from the dividend after 90, then repeat: 905 / 125

Advancing to step 7:
125 can be fit into 905 7 times, resulting in a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 60757.0
If we subtract 875 from 905, we get 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 125

Let's proceed to step 8:
If we divide 306 by 125, we get 2 and a remainder of 56.
The next digit of our result is 2. 
Result so far: 607572.0
Deduct 250 from 306 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
560 divided by 125 is 4 with a remainder of 60.
Use 4 as the next digit of our solution. 
Result so far: 607572.4
If we take 500 away from 560, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 10:
600 divided by 125 is 4 with a remainder of 100.
The number 4 becomes the next digit in our result. 
Result so far: 607572.44
If we subtract 500 from 600, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

In conclusion, the division gives 607572.44 with a balance of 0.1.