77146 ÷ 7 = 11020 R6
Alright, let's work through the division of 77146 by 7 step by step.

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

Step 2:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 7 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 3:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 110
Subtract 0 from 1 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 7

Step 4:
7 goes into 14 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 1102
Subtract 14 from 14 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 7

Step 5:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 11020
Subtract 0 from 6 to get 6.

The final result is 11020 with a remainder of 6.