977300 ÷ 13 
Our goal is to divide 977300 by 13.

Advancing to step 1:
9 divided by 13 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 13

Advancing to step 2:
13 can be fit into 97 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 6 after subtracting 91 from 97.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 13

Advancing to step 3:
If we divide 67 by 13, we get 5 and a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Subtracting 65 from 67 leaves us with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 13

Moving on to step 4:
The number 13 fits into 23 1 times, leaving a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 751.0
Subtracting 13 from 23 leaves us with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 13

Step 5:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 7517.0
The remainder is 9 after subtracting 91 from 100.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 13

Let's proceed to step 6:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 75176.0
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 75176.9
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 75176.92
If we take 26 away from 30, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 75176.923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 75176.923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
13 goes into 100 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 75176.92307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 75176.923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 75176.9230769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 75176.92307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 75176.92307692 with a remaining 4e-09.