We're dividing 5639985 by 659 
We want to figure out the number of times 5639985 can be divided by 659.

On to step 1:
If we divide 5 by 659, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 659

Advancing to step 2:
56 divided by 659 is 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 56 after subtracting 0 from 56.
Append the next digit (3) from the dividend to 56 and continue with: 563 / 659

On to step 3:
659 can be fit into 563 0 times, resulting in a remainder of 563.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 563 leaves us with 563.
Take the next digit (9) from the dividend and append it to 563, then repeat: 5639 / 659

On to step 4:
659 can be fit into 5639 8 times, resulting in a remainder of 367.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 5272 from 5639 leaves us with 367.
Fetch the next digit (9) from the dividend, attach it to 367 and continue: 3679 / 659

Moving on to step 5:
When dividing 3679 by 659, we get 5 with a remainder of 384.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
The remainder is 384 after subtracting 3295 from 3679.
Include the next digit (8) from the dividend after 384, then repeat: 3848 / 659

Advancing to step 6:
3848 divided by 659 is 5 with a remainder of 553.
The next digit of our result is 5. 
Result so far: 855.0
Deduct 3295 from 3848 and we're left with 553.
Bring next digit (5) of the dividend behind the 553 and repeat the process: 5535 / 659

Advancing to step 7:
659 goes into 5535 8 times with a remainder of 263.
The number 8 becomes the next digit in our result. 
Result so far: 8558.0
Subtracting 5272 from 5535 leaves us with 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

Advancing to step 8:
659 can be fit into 2630 3 times, resulting in a remainder of 653.
Put 3 as the next digit of the answer. 
Result so far: 8558.3
Subtract 1977 from 2630 to get 653.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6530, and continue the process.

Let's proceed to step 9:
The number 659 fits into 6530 9 times, leaving a remainder of 599.
Write down 9 as next digit of the result. 
Result so far: 8558.39
If we take 5931 away from 6530, we end up with 599.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5990, and continue the process.

Going ahead to step 10:
5990 divided by 659 is 9 with a remainder of 59.
Use 9 as the next digit of our solution. 
Result so far: 8558.399
Subtract 5931 from 5990 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

After the division, we end up with 8558.399 and a remainder of 0.0059.