70621 ÷ 7 = 10088 R5
Alright, let's work through the division of 70621 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 (6) of the dividend behind the 0 and repeat the process: 6 / 7

Step 3:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 100
Subtract 0 from 6 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: 1008
Subtract 56 from 62 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 7

Step 5:
7 goes into 61 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 10088
Subtract 56 from 61 to get 5.

The final result is 10088 with a remainder of 5.