35241 ÷ 5 = 7048 R1
Alright, let's work through the division of 35241 by 5 step by step.

Step 1:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 5

Step 2:
5 goes into 35 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 35 from 35 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 5

Step 3:
5 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 2 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 5

Step 4:
5 goes into 24 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 704
Subtract 20 from 24 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

Step 5:
5 goes into 41 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 7048
Subtract 40 from 41 to get 1.

The final result is 7048 with a remainder of 1.