10422 ÷ 7 = 1488 R6
Alright, let's work through the division of 10422 by 7 step by step.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 2:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 10 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 7

Step 3:
7 goes into 34 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 28 from 34 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 4:
7 goes into 62 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 148
Subtract 56 from 62 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 5:
7 goes into 62 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 1488
Subtract 56 from 62 to get 6.

The final result is 1488 with a remainder of 6.