74977 ÷ 7 = 10711 R0
Alright, let's work through the division of 74977 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 (4) of the dividend behind the 0 and repeat the process: 4 / 7

Step 2:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 4 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 7

Step 3:
7 goes into 49 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 49 from 49 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 7

Step 4:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1071
Subtract 7 from 7 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 7

Step 5:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 10711
Subtract 7 from 7 to get 0.

The final result is 10711 with a remainder of 0.