6563474 ÷ 859 
We want to figure out the number of times 6563474 can be divided by 859.

On to step 1:
859 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 859

On to step 2:
65 divided by 859 is 0 with a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Fetch the next digit (6) from the dividend, attach it to 65 and continue: 656 / 859

Advancing to step 3:
If we divide 656 by 859, we get 0 and a remainder of 656.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 656 and we're left with 656.
Include the next digit (3) from the dividend after 656, then repeat: 6563 / 859

Going ahead to step 4:
If we divide 6563 by 859, we get 7 and a remainder of 550.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 6013 away from 6563, we end up with 550.
Bring next digit (4) of the dividend behind the 550 and repeat the process: 5504 / 859

On to step 5:
When dividing 5504 by 859, we get 6 with a remainder of 350.
Use 6 as the next digit of our solution. 
Result so far: 76.0
Deduct 5154 from 5504 and we're left with 350.
Append the next digit (7) from the dividend to 350 and continue with: 3507 / 859

Advancing to step 6:
When dividing 3507 by 859, we get 4 with a remainder of 71.
Record the quotient 4 as the next digit in the result. 
Result so far: 764.0
If we subtract 3436 from 3507, we get 71.
Grab the next digit (4) from the dividend, add it to 71, then carry on: 714 / 859

Advancing to step 7:
859 goes into 714 0 times with a remainder of 714.
Use 0 as the next digit of our solution. 
Result so far: 7640.0
If we subtract 0 from 714, we get 714.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7140, and continue the process.

Moving on to step 8:
The number 859 fits into 7140 8 times, leaving a remainder of 268.
Put 8 as the next digit of the answer. 
Result so far: 7640.8
Subtract 6872 from 7140 to get 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Step 9:
859 can be fit into 2680 3 times, resulting in a remainder of 103.
Use 3 as the next digit of our solution. 
Result so far: 7640.83
Deduct 2577 from 2680 and we're left with 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Let's proceed to step 10:
The number 859 fits into 1030 1 times, leaving a remainder of 171.
The next digit of our result is 1. 
Result so far: 7640.831
Subtracting 859 from 1030 leaves us with 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Moving on to step 11:
859 goes into 1710 1 times with a remainder of 851.
Put 1 as the next digit of the answer. 
Result so far: 7640.8311
If we take 859 away from 1710, we end up with 851.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8510, and continue the process.

The final result is 7640.8311 with a remainder of 0.00851.