83266 ÷ 7 = 11895 R1
Alright, let's work through the division of 83266 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 2:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 13 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 3:
7 goes into 62 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 118
Subtract 56 from 62 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 4:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 1189
Subtract 63 from 66 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 7

Step 5:
7 goes into 36 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 11895
Subtract 35 from 36 to get 1.

The final result is 11895 with a remainder of 1.