We look at the division of 430553 by 59 
We want to figure out the number of times 430553 can be divided by 59.

Advancing to step 1:
59 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 59

On to step 2:
59 can be fit into 43 0 times, resulting in a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (0) from the dividend after 43, then repeat: 430 / 59

Step 3:
If we divide 430 by 59, we get 7 and a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 17 after subtracting 413 from 430.
Fetch the next digit (5) from the dividend, attach it to 17 and continue: 175 / 59

On to step 4:
59 goes into 175 2 times with a remainder of 57.
Write down 2 as next digit of the result. 
Result so far: 72.0
The remainder is 57 after subtracting 118 from 175.
Grab the next digit (5) from the dividend, add it to 57, then carry on: 575 / 59

On to step 5:
When dividing 575 by 59, we get 9 with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 729.0
If we take 531 away from 575, we end up with 44.
Append the next digit (3) from the dividend to 44 and continue with: 443 / 59

Let's proceed to step 6:
443 divided by 59 is 7 with a remainder of 30.
The number 7 becomes the next digit in our result. 
Result so far: 7297.0
If we subtract 413 from 443, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
When dividing 300 by 59, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 7297.5
The remainder is 5 after subtracting 295 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
50 divided by 59 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 7297.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
If we divide 500 by 59, we get 8 and a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 7297.508
If we take 472 away from 500, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
When dividing 280 by 59, we get 4 with a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 7297.5084
If we subtract 236 from 280, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
When dividing 440 by 59, we get 7 with a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 7297.50847
The remainder is 27 after subtracting 413 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 12:
59 can be fit into 270 4 times, resulting in a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 7297.508474
If we take 236 away from 270, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
340 divided by 59 is 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 7297.5084745
If we subtract 295 from 340, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
59 goes into 450 7 times with a remainder of 37.
The next digit of our result is 7. 
Result so far: 7297.50847457
Deduct 413 from 450 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 7297.50847457 with a remainder of 3.7e-08.