24935 ÷ 7 = 3562 R1
Alright, let's work through the division of 24935 by 7 step by step.

Step 1:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Step 2:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 21 from 24 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 7

Step 3:
7 goes into 39 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 35
Subtract 35 from 39 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Step 4:
7 goes into 43 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 356
Subtract 42 from 43 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 5:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 3562
Subtract 14 from 15 to get 1.

The final result is 3562 with a remainder of 1.