975863 ÷ 13 
We want to figure out the number of times 975863 can be divided by 13.

On to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 13

On to step 2:
When dividing 97 by 13, we get 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 91 from 97 and we're left with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 13

Let's proceed to step 3:
When dividing 65 by 13, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
The remainder is 0 after subtracting 65 from 65.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 13

Going ahead to step 4:
When dividing 8 by 13, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 750.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 13

On to step 5:
13 goes into 86 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 7506.0
Subtract 78 from 86 to get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 13

Going ahead to step 6:
13 can be fit into 83 6 times, resulting in a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 75066.0
If we take 78 away from 83, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 13 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 75066.3
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.

On to step 8:
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: 75066.38
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
60 divided by 13 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 75066.384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 75066.3846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 75066.38461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 75066.384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 75066.3846153
Deduct 39 from 50 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.

Step 14:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 75066.38461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 75066.38461538 with a remainder of 6e-09.