We look at the division of 587594 by 55 
Our goal is to divide 587594 by 55.

Let's proceed to step 1:
The number 55 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 55

On to step 2:
The number 55 fits into 58 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 55 from 58.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 55

Moving on to step 3:
When dividing 37 by 55, we get 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 37, we get 37.
Include the next digit (5) from the dividend after 37, then repeat: 375 / 55

Moving on to step 4:
When dividing 375 by 55, we get 6 with a remainder of 45.
Use 6 as the next digit of our solution. 
Result so far: 106.0
Deduct 330 from 375 and we're left with 45.
Append the next digit (9) from the dividend to 45 and continue with: 459 / 55

Let's proceed to step 5:
The number 55 fits into 459 8 times, leaving a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 1068.0
The remainder is 19 after subtracting 440 from 459.
Include the next digit (4) from the dividend after 19, then repeat: 194 / 55

Step 6:
194 divided by 55 is 3 with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 10683.0
The remainder is 29 after subtracting 165 from 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
55 can be fit into 290 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10683.5
Subtracting 275 from 290 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
If we divide 150 by 55, we get 2 and a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 10683.52
If we take 110 away from 150, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
400 divided by 55 is 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 10683.527
Deduct 385 from 400 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
55 goes into 150 2 times with a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 10683.5272
The remainder is 40 after subtracting 110 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
55 goes into 400 7 times with a remainder of 15.
The next digit of our result is 7. 
Result so far: 10683.52727
Deduct 385 from 400 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
55 goes into 150 2 times with a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 10683.527272
If we subtract 110 from 150, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
The number 55 fits into 400 7 times, leaving a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 10683.5272727
If we subtract 385 from 400, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 14:
The number 55 fits into 150 2 times, leaving a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 10683.52727272
Deduct 110 from 150 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 10683.52727272 with a remaining 4e-08.