350501 ÷ 59 
Our goal is to divide 350501 by 59.

Step 1:
When dividing 3 by 59, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 59

Let's proceed to step 2:
59 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Fetch the next digit (0) from the dividend, attach it to 35 and continue: 350 / 59

Going ahead to step 3:
When dividing 350 by 59, we get 5 with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 295 from 350 and we're left with 55.
Bring next digit (5) of the dividend behind the 55 and repeat the process: 555 / 59

On to step 4:
59 goes into 555 9 times with a remainder of 24.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we take 531 away from 555, we end up with 24.
Fetch the next digit (0) from the dividend, attach it to 24 and continue: 240 / 59

Going ahead to step 5:
The number 59 fits into 240 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 594.0
Subtracting 236 from 240 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 59

Advancing to step 6:
The number 59 fits into 41 0 times, leaving a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 5940.0
Deduct 0 from 41 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
59 goes into 410 6 times with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 5940.6
If we subtract 354 from 410, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
When dividing 560 by 59, we get 9 with a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 5940.69
The remainder is 29 after subtracting 531 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 9:
290 divided by 59 is 4 with a remainder of 54.
The next digit of our result is 4. 
Result so far: 5940.694
Deduct 236 from 290 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 10:
When dividing 540 by 59, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 5940.6949
Subtract 531 from 540 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
59 goes into 90 1 times with a remainder of 31.
The next digit of our result is 1. 
Result so far: 5940.69491
Subtract 59 from 90 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 12:
310 divided by 59 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5940.694915
If we take 295 away from 310, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
The number 59 fits into 150 2 times, leaving a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 5940.6949152
The remainder is 32 after subtracting 118 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
320 divided by 59 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 5940.69491525
Subtracting 295 from 320 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 5940.69491525 with a balance of 2.5e-08.