3942 ÷ 7 = 563 R1
Alright, let's work through the division of 3942 by 7 step by step.

Step 1:
7 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 (9) of the dividend behind the 3 and repeat the process: 39 / 7

Step 2:
7 goes into 39 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 35 from 39 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 7

Step 3:
7 goes into 44 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 56
Subtract 42 from 44 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 7

Step 4:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 563
Subtract 21 from 22 to get 1.

The final result is 563 with a remainder of 1.