58679 ÷ 42 
Our goal is to divide 58679 by 42.

Step 1:
42 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 42

On to step 2:
The number 42 fits into 58 1 times, leaving a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 42 from 58 and we're left with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 42

Advancing to step 3:
166 divided by 42 is 3 with a remainder of 40.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 40 after subtracting 126 from 166.
Append the next digit (7) from the dividend to 40 and continue with: 407 / 42

Let's proceed to step 4:
407 divided by 42 is 9 with a remainder of 29.
The next digit of our result is 9. 
Result so far: 139.0
If we take 378 away from 407, we end up with 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 42

Going ahead to step 5:
If we divide 299 by 42, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1397.0
Subtract 294 from 299 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 6:
If we divide 50 by 42, we get 1 and a remainder of 8.
The next digit of our result is 1. 
Result so far: 1397.1
Subtracting 42 from 50 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 42, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 1397.11
If we take 42 away from 80, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 1397.11 and a remainder of 0.038.