66262 ÷ 4 = 16565 R2
Alright, let's work through the division of 66262 by 4 step by step.

Step 1:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 6 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 4

Step 2:
4 goes into 26 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 24 from 26 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 3:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 165
Subtract 20 from 22 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 4

Step 4:
4 goes into 26 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 1656
Subtract 24 from 26 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 5:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 16565
Subtract 20 from 22 to get 2.

The final result is 16565 with a remainder of 2.