70507 ÷ 7 = 10072 R3
Alright, let's work through the division of 70507 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 (5) of the dividend behind the 0 and repeat the process: 5 / 7

Step 3:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 100
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 4:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1007
Subtract 49 from 50 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 7

Step 5:
7 goes into 17 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 10072
Subtract 14 from 17 to get 3.

The final result is 10072 with a remainder of 3.