7002 ÷ 7 = 1000 R2
Alright, let's work through the division of 7002 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 (0) of the dividend behind the 0 and repeat the process: 0 / 7

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

Step 3:
7 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 100
Subtract 0 from 0 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 7

Step 4:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 1000
Subtract 0 from 2 to get 2.

The final result is 1000 with a remainder of 2.