969577 ÷ 13 
We're looking to find how many times 13 goes into 969577.

Advancing to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 13

Let's proceed to step 2:
The number 13 fits into 96 7 times, leaving a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 91 from 96 to get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 13

Moving on to step 3:
59 divided by 13 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 74.0
If we subtract 52 from 59, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Let's proceed to step 4:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 745.0
The remainder is 10 after subtracting 65 from 75.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 13

Going ahead to step 5:
13 can be fit into 107 8 times, resulting in a remainder of 3.
The next digit of our result is 8. 
Result so far: 7458.0
If we take 104 away from 107, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 13

Step 6:
13 can be fit into 37 2 times, resulting in a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 74582.0
Deduct 26 from 37 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 74582.8
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 74582.84
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 74582.846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 74582.8461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 74582.84615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 74582.846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 13:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 74582.8461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 74582.84615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 74582.84615384, with a leftover of 8e-09.