70126 ÷ 7 = 10018 R0
Alright, let's work through the division of 70126 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 (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 3:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 100
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Step 4:
7 goes into 12 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1001
Subtract 7 from 12 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 7

Step 5:
7 goes into 56 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 10018
Subtract 56 from 56 to get 0.

The final result is 10018 with a remainder of 0.