We're dividing 5535977 by 100 
We want to figure out the number of times 5535977 can be divided by 100.

Advancing to step 1:
When dividing 5 by 100, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 100

Advancing to step 2:
100 can be fit into 55 0 times, resulting in a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 100

Moving on to step 3:
When dividing 553 by 100, we get 5 with a remainder of 53.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 500 from 553 and we're left with 53.
Grab the next digit (5) from the dividend, add it to 53, then carry on: 535 / 100

Moving on to step 4:
The number 100 fits into 535 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Deduct 500 from 535 and we're left with 35.
Fetch the next digit (9) from the dividend, attach it to 35 and continue: 359 / 100

Moving on to step 5:
100 goes into 359 3 times with a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 553.0
The remainder is 59 after subtracting 300 from 359.
Grab the next digit (7) from the dividend, add it to 59, then carry on: 597 / 100

Moving on to step 6:
100 can be fit into 597 5 times, resulting in a remainder of 97.
Use 5 as the next digit of our solution. 
Result so far: 5535.0
The remainder is 97 after subtracting 500 from 597.
Take the next digit (7) from the dividend and append it to 97, then repeat: 977 / 100

On to step 7:
When dividing 977 by 100, we get 9 with a remainder of 77.
The next digit of our result is 9. 
Result so far: 55359.0
Deduct 900 from 977 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 8:
770 divided by 100 is 7 with a remainder of 70.
Record the quotient 7 as the next digit in the result. 
Result so far: 55359.7
If we take 700 away from 770, we end up with 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 9:
100 can be fit into 700 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 55359.77
If we subtract 700 from 700, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 55359.77 with a remainder of 0.0.