We're dividing 10119310 by 588 
We want to figure out the number of times 10119310 can be divided by 588.

Going ahead to step 1:
If we divide 1 by 588, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 588

Going ahead to step 2:
10 divided by 588 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 588

Let's proceed to step 3:
The number 588 fits into 101 0 times, leaving a remainder of 101.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 101, we get 101.
Fetch the next digit (1) from the dividend, attach it to 101 and continue: 1011 / 588

Step 4:
The number 588 fits into 1011 1 times, leaving a remainder of 423.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 588 from 1011 and we're left with 423.
Bring next digit (9) of the dividend behind the 423 and repeat the process: 4239 / 588

Going ahead to step 5:
588 can be fit into 4239 7 times, resulting in a remainder of 123.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 4116 away from 4239, we end up with 123.
Bring next digit (3) of the dividend behind the 123 and repeat the process: 1233 / 588

Let's proceed to step 6:
The number 588 fits into 1233 2 times, leaving a remainder of 57.
The number 2 becomes the next digit in our result. 
Result so far: 172.0
If we take 1176 away from 1233, we end up with 57.
Fetch the next digit (1) from the dividend, attach it to 57 and continue: 571 / 588

Moving on to step 7:
If we divide 571 by 588, we get 0 and a remainder of 571.
Write down 0 as next digit of the result. 
Result so far: 1720.0
Subtracting 0 from 571 leaves us with 571.
Append the next digit (0) from the dividend to 571 and continue with: 5710 / 588

On to step 8:
588 can be fit into 5710 9 times, resulting in a remainder of 418.
Put 9 as the next digit of the answer. 
Result so far: 17209.0
The remainder is 418 after subtracting 5292 from 5710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4180, and continue the process.

Step 9:
4180 divided by 588 is 7 with a remainder of 64.
Record the quotient 7 as the next digit in the result. 
Result so far: 17209.7
If we subtract 4116 from 4180, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 10:
When dividing 640 by 588, we get 1 with a remainder of 52.
The next digit of our result is 1. 
Result so far: 17209.71
Subtract 588 from 640 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
588 goes into 520 0 times with a remainder of 520.
Use 0 as the next digit of our solution. 
Result so far: 17209.71
The remainder is 520 after subtracting 0 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

On to step 12:
588 can be fit into 5200 8 times, resulting in a remainder of 496.
Use 8 as the next digit of our solution. 
Result so far: 17209.7108
Subtracting 4704 from 5200 leaves us with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Going ahead to step 13:
If we divide 4960 by 588, we get 8 and a remainder of 256.
Write down 8 as next digit of the result. 
Result so far: 17209.71088
Subtract 4704 from 4960 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

In conclusion, the division gives 17209.71088 with a balance of 0.000256.