9777323 ÷ 556 
We're looking to find how many times 556 goes into 9777323.

Step 1:
When dividing 9 by 556, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 556

Moving on to step 2:
If we divide 97 by 556, we get 0 and a remainder of 97.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 97, we get 97.
Grab the next digit (7) from the dividend, add it to 97, then carry on: 977 / 556

On to step 3:
If we divide 977 by 556, we get 1 and a remainder of 421.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 556 from 977, we get 421.
Take the next digit (7) from the dividend and append it to 421, then repeat: 4217 / 556

On to step 4:
When dividing 4217 by 556, we get 7 with a remainder of 325.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 3892 from 4217 leaves us with 325.
Fetch the next digit (3) from the dividend, attach it to 325 and continue: 3253 / 556

On to step 5:
556 goes into 3253 5 times with a remainder of 473.
Record the quotient 5 as the next digit in the result. 
Result so far: 175.0
Subtract 2780 from 3253 to get 473.
Take the next digit (2) from the dividend and append it to 473, then repeat: 4732 / 556

Advancing to step 6:
556 goes into 4732 8 times with a remainder of 284.
Use 8 as the next digit of our solution. 
Result so far: 1758.0
Subtract 4448 from 4732 to get 284.
Take the next digit (3) from the dividend and append it to 284, then repeat: 2843 / 556

Step 7:
The number 556 fits into 2843 5 times, leaving a remainder of 63.
Write down 5 as next digit of the result. 
Result so far: 17585.0
The remainder is 63 after subtracting 2780 from 2843.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 8:
When dividing 630 by 556, we get 1 with a remainder of 74.
Write down 1 as next digit of the result. 
Result so far: 17585.1
The remainder is 74 after subtracting 556 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 9:
556 can be fit into 740 1 times, resulting in a remainder of 184.
Write down 1 as next digit of the result. 
Result so far: 17585.11
Subtracting 556 from 740 leaves us with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Our division results in 17585.11 with a remaining 0.184.