Let's divide 58975 by 3
We want to figure out the number of times 58975 can be divided by 3.

Advancing to step 1:
If we divide 5 by 3, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

On to step 2:
If we divide 28 by 3, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 27 from 28, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 3

Moving on to step 3:
The number 3 fits into 19 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 196.0
If we subtract 18 from 19, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 3

Step 4:
When dividing 17 by 3, we get 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 1965.0
Deduct 15 from 17 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 3

Moving on to step 5:
When dividing 25 by 3, we get 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 19658.0
Deduct 24 from 25 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 19658.3
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 19658.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 19658.33 with a remaining 0.001.