We look at the division of 945803 by 59 
We're looking to find how many times 59 goes into 945803.

Advancing to step 1:
The number 59 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 59

On to step 2:
If we divide 94 by 59, we get 1 and a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 35 after subtracting 59 from 94.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 59

Going ahead to step 3:
If we divide 355 by 59, we get 6 and a remainder of 1.
The next digit of our result is 6. 
Result so far: 16.0
If we take 354 away from 355, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 59

Let's proceed to step 4:
When dividing 18 by 59, we get 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 160.0
Subtract 0 from 18 to get 18.
Include the next digit (0) from the dividend after 18, then repeat: 180 / 59

Going ahead to step 5:
180 divided by 59 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 1603.0
The remainder is 3 after subtracting 177 from 180.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 59

On to step 6:
33 divided by 59 is 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 16030.0
Deduct 0 from 33 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
330 divided by 59 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 16030.5
If we subtract 295 from 330, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
When dividing 350 by 59, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 16030.55
Deduct 295 from 350 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

In conclusion, the division gives 16030.55 with a balance of 0.055.