We look at the division of 596553 by 89 
Let's see how many times 89 fits into 596553.

Advancing to step 1:
If we divide 5 by 89, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 89

Going ahead to step 2:
If we divide 59 by 89, we get 0 and a remainder of 59.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 59 and we're left with 59.
Grab the next digit (6) from the dividend, add it to 59, then carry on: 596 / 89

Advancing to step 3:
If we divide 596 by 89, we get 6 and a remainder of 62.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 534 from 596 and we're left with 62.
Include the next digit (5) from the dividend after 62, then repeat: 625 / 89

Advancing to step 4:
The number 89 fits into 625 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 67.0
If we subtract 623 from 625, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 89

Let's proceed to step 5:
If we divide 25 by 89, we get 0 and a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 670.0
The remainder is 25 after subtracting 0 from 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 89

Advancing to step 6:
89 goes into 253 2 times with a remainder of 75.
The next digit of our result is 2. 
Result so far: 6702.0
If we take 178 away from 253, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 7:
When dividing 750 by 89, we get 8 with a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 6702.8
If we take 712 away from 750, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
If we divide 380 by 89, we get 4 and a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 6702.84
If we subtract 356 from 380, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
The number 89 fits into 240 2 times, leaving a remainder of 62.
The next digit of our result is 2. 
Result so far: 6702.842
Deduct 178 from 240 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 10:
The number 89 fits into 620 6 times, leaving a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 6702.8426
Subtracting 534 from 620 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 11:
89 goes into 860 9 times with a remainder of 59.
The number 9 becomes the next digit in our result. 
Result so far: 6702.84269
Subtracting 801 from 860 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 12:
89 goes into 590 6 times with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 6702.842696
If we subtract 534 from 590, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 13:
If we divide 560 by 89, we get 6 and a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 6702.8426966
Subtracting 534 from 560 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 6702.8426966, and the remainder is 2.6e-07.