Let's divide 11429040 by 588
We're looking to find how many times 588 goes into 11429040.

Step 1:
588 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 588

On to step 2:
588 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 588

Advancing to step 3:
When dividing 114 by 588, we get 0 with a remainder of 114.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 114, we end up with 114.
Take the next digit (2) from the dividend and append it to 114, then repeat: 1142 / 588

Moving on to step 4:
The number 588 fits into 1142 1 times, leaving a remainder of 554.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 588 away from 1142, we end up with 554.
Bring next digit (9) of the dividend behind the 554 and repeat the process: 5549 / 588

Moving on to step 5:
588 goes into 5549 9 times with a remainder of 257.
The next digit of our result is 9. 
Result so far: 19.0
Deduct 5292 from 5549 and we're left with 257.
Fetch the next digit (0) from the dividend, attach it to 257 and continue: 2570 / 588

Going ahead to step 6:
2570 divided by 588 is 4 with a remainder of 218.
Record the quotient 4 as the next digit in the result. 
Result so far: 194.0
If we subtract 2352 from 2570, we get 218.
Include the next digit (4) from the dividend after 218, then repeat: 2184 / 588

Step 7:
The number 588 fits into 2184 3 times, leaving a remainder of 420.
Use 3 as the next digit of our solution. 
Result so far: 1943.0
If we take 1764 away from 2184, we end up with 420.
Fetch the next digit (0) from the dividend, attach it to 420 and continue: 4200 / 588

On to step 8:
The number 588 fits into 4200 7 times, leaving a remainder of 84.
The number 7 becomes the next digit in our result. 
Result so far: 19437.0
If we subtract 4116 from 4200, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 9:
588 can be fit into 840 1 times, resulting in a remainder of 252.
Write down 1 as next digit of the result. 
Result so far: 19437.1
The remainder is 252 after subtracting 588 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Moving on to step 10:
When dividing 2520 by 588, we get 4 with a remainder of 168.
Write down 4 as next digit of the result. 
Result so far: 19437.14
If we take 2352 away from 2520, we end up with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 11:
The number 588 fits into 1680 2 times, leaving a remainder of 504.
Write down 2 as next digit of the result. 
Result so far: 19437.142
The remainder is 504 after subtracting 1176 from 1680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

Step 12:
When dividing 5040 by 588, we get 8 with a remainder of 336.
Use 8 as the next digit of our solution. 
Result so far: 19437.1428
If we subtract 4704 from 5040, we get 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Let's proceed to step 13:
When dividing 3360 by 588, we get 5 with a remainder of 420.
Put 5 as the next digit of the answer. 
Result so far: 19437.14285
If we take 2940 away from 3360, we end up with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Advancing to step 14:
The number 588 fits into 4200 7 times, leaving a remainder of 84.
Record the quotient 7 as the next digit in the result. 
Result so far: 19437.142857
Deduct 4116 from 4200 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 15:
When dividing 840 by 588, we get 1 with a remainder of 252.
The next digit of our result is 1. 
Result so far: 19437.1428571
If we take 588 away from 840, we end up with 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Going ahead to step 16:
If we divide 2520 by 588, we get 4 and a remainder of 168.
Record the quotient 4 as the next digit in the result. 
Result so far: 19437.14285714
If we subtract 2352 from 2520, we get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

In conclusion, the division gives 19437.14285714 with a balance of 1.68e-07.