Let's divide 585114 by 89
Our goal is to divide 585114 by 89.

On to step 1:
The number 89 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
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 / 89

On to step 2:
89 goes into 58 0 times with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 89

Advancing to step 3:
585 divided by 89 is 6 with a remainder of 51.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 534 from 585 and we're left with 51.
Include the next digit (1) from the dividend after 51, then repeat: 511 / 89

Going ahead to step 4:
The number 89 fits into 511 5 times, leaving a remainder of 66.
Use 5 as the next digit of our solution. 
Result so far: 65.0
The remainder is 66 after subtracting 445 from 511.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 89

Moving on to step 5:
661 divided by 89 is 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 657.0
The remainder is 38 after subtracting 623 from 661.
Take the next digit (4) from the dividend and append it to 38, then repeat: 384 / 89

Step 6:
If we divide 384 by 89, we get 4 and a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 6574.0
If we subtract 356 from 384, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
280 divided by 89 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 6574.3
If we subtract 267 from 280, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
130 divided by 89 is 1 with a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 6574.31
Deduct 89 from 130 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 9:
When dividing 410 by 89, we get 4 with a remainder of 54.
The next digit of our result is 4. 
Result so far: 6574.314
Subtract 356 from 410 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 10:
89 goes into 540 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 6574.3146
The remainder is 6 after subtracting 534 from 540.
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 11:
60 divided by 89 is 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 6574.3146
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 12:
The number 89 fits into 600 6 times, leaving a remainder of 66.
Record the quotient 6 as the next digit in the result. 
Result so far: 6574.314606
If we subtract 534 from 600, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 13:
When dividing 660 by 89, we get 7 with a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 6574.3146067
Subtract 623 from 660 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 14:
When dividing 370 by 89, we get 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 6574.31460674
Deduct 356 from 370 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 6574.31460674 and a remainder of 1.4e-08.