We're dividing 43342903 by 588 
We want to figure out the number of times 43342903 can be divided by 588.

Advancing to step 1:
4 divided by 588 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 588

Let's proceed to step 2:
43 divided by 588 is 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 588

Let's proceed to step 3:
If we divide 433 by 588, we get 0 and a remainder of 433.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 433 and we're left with 433.
Append the next digit (4) from the dividend to 433 and continue with: 4334 / 588

Let's proceed to step 4:
588 can be fit into 4334 7 times, resulting in a remainder of 218.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 4116 from 4334 and we're left with 218.
Grab the next digit (2) from the dividend, add it to 218, then carry on: 2182 / 588

Advancing to step 5:
When dividing 2182 by 588, we get 3 with a remainder of 418.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
If we take 1764 away from 2182, we end up with 418.
Include the next digit (9) from the dividend after 418, then repeat: 4189 / 588

Step 6:
588 goes into 4189 7 times with a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 737.0
Subtract 4116 from 4189 to get 73.
Grab the next digit (0) from the dividend, add it to 73, then carry on: 730 / 588

Step 7:
If we divide 730 by 588, we get 1 and a remainder of 142.
Write down 1 as next digit of the result. 
Result so far: 7371.0
If we subtract 588 from 730, we get 142.
Bring next digit (3) of the dividend behind the 142 and repeat the process: 1423 / 588

Advancing to step 8:
If we divide 1423 by 588, we get 2 and a remainder of 247.
The number 2 becomes the next digit in our result. 
Result so far: 73712.0
If we subtract 1176 from 1423, we get 247.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2470, and continue the process.

Let's proceed to step 9:
588 can be fit into 2470 4 times, resulting in a remainder of 118.
Write down 4 as next digit of the result. 
Result so far: 73712.4
If we subtract 2352 from 2470, we get 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Advancing to step 10:
If we divide 1180 by 588, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 73712.42
If we subtract 1176 from 1180, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
588 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 73712.42
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
588 can be fit into 400 0 times, resulting in a remainder of 400.
The next digit of our result is 0. 
Result so far: 73712.42
The remainder is 400 after subtracting 0 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

In conclusion, the division gives 73712.42 with a balance of 0.004.