58309 ÷ 4 = 14577 R1
Alright, let's work through the division of 58309 by 4 step by step.

Step 1:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 5 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 2:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 16 from 18 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Step 3:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 145
Subtract 20 from 23 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 4:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 1457
Subtract 28 from 30 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 5:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 14577
Subtract 28 from 29 to get 1.

The final result is 14577 with a remainder of 1.