5002 ÷ 7 = 714 R4
No problem, we've got 5002 and 7 for the division.

Step 1:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 2:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 49 from 50 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 3:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 71
Subtract 7 from 10 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 7

Step 4:
7 goes into 32 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 714
Subtract 28 from 32 to get 4.

The final result is 714 with a remainder of 4.