We look at the division of 588590 by 97 
Our goal is to divide 588590 by 97.

Going ahead to step 1:
5 divided by 97 is 0 with 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.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 97

Going ahead to step 2:
If we divide 58 by 97, we get 0 and a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Grab the next digit (8) from the dividend, add it to 58, then carry on: 588 / 97

Going ahead to step 3:
The number 97 fits into 588 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 582 from 588 and we're left with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 97

Advancing to step 4:
97 can be fit into 65 0 times, resulting in a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
The remainder is 65 after subtracting 0 from 65.
Append the next digit (9) from the dividend to 65 and continue with: 659 / 97

On to step 5:
97 goes into 659 6 times with a remainder of 77.
Put 6 as the next digit of the answer. 
Result so far: 606.0
Subtracting 582 from 659 leaves us with 77.
Append the next digit (0) from the dividend to 77 and continue with: 770 / 97

Let's proceed to step 6:
97 goes into 770 7 times with a remainder of 91.
The number 7 becomes the next digit in our result. 
Result so far: 6067.0
If we take 679 away from 770, we end up with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Advancing to step 7:
The number 97 fits into 910 9 times, leaving a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 6067.9
Subtract 873 from 910 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.

Moving on to step 8:
If we divide 370 by 97, we get 3 and a remainder of 79.
Write down 3 as next digit of the result. 
Result so far: 6067.93
If we take 291 away from 370, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 9:
97 can be fit into 790 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 6067.938
Subtract 776 from 790 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
If we divide 140 by 97, we get 1 and a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 6067.9381
Subtracting 97 from 140 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 11:
If we divide 430 by 97, we get 4 and a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 6067.93814
Subtract 388 from 430 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 12:
97 can be fit into 420 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 6067.938144
Subtracting 388 from 420 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 6067.938144, and the remainder is 3.2e-06.