We're dividing 9765779 by 597 
Our goal is to divide 9765779 by 597.

Moving on to step 1:
597 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 597

Step 2:
The number 597 fits into 97 0 times, leaving 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.
Fetch the next digit (6) from the dividend, attach it to 97 and continue: 976 / 597

Moving on to step 3:
The number 597 fits into 976 1 times, leaving a remainder of 379.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 597 from 976 leaves us with 379.
Include the next digit (5) from the dividend after 379, then repeat: 3795 / 597

Step 4:
If we divide 3795 by 597, we get 6 and a remainder of 213.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 3582 from 3795 leaves us with 213.
Fetch the next digit (7) from the dividend, attach it to 213 and continue: 2137 / 597

On to step 5:
If we divide 2137 by 597, we get 3 and a remainder of 346.
Use 3 as the next digit of our solution. 
Result so far: 163.0
Subtract 1791 from 2137 to get 346.
Fetch the next digit (7) from the dividend, attach it to 346 and continue: 3467 / 597

Going ahead to step 6:
If we divide 3467 by 597, we get 5 and a remainder of 482.
The number 5 becomes the next digit in our result. 
Result so far: 1635.0
If we take 2985 away from 3467, we end up with 482.
Take the next digit (9) from the dividend and append it to 482, then repeat: 4829 / 597

Going ahead to step 7:
597 can be fit into 4829 8 times, resulting in a remainder of 53.
Use 8 as the next digit of our solution. 
Result so far: 16358.0
Deduct 4776 from 4829 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 8:
When dividing 530 by 597, we get 0 with a remainder of 530.
The number 0 becomes the next digit in our result. 
Result so far: 16358.0
Deduct 0 from 530 and we're left with 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

Going ahead to step 9:
597 can be fit into 5300 8 times, resulting in a remainder of 524.
Put 8 as the next digit of the answer. 
Result so far: 16358.08
The remainder is 524 after subtracting 4776 from 5300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Advancing to step 10:
5240 divided by 597 is 8 with a remainder of 464.
Put 8 as the next digit of the answer. 
Result so far: 16358.088
The remainder is 464 after subtracting 4776 from 5240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

After the division, we end up with 16358.088 and a remainder of 0.0464.