21460 ÷ 7 = 3065 R5
Alright, let's work through the division of 21460 by 7 step by step.

Step 1:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 7

Step 2:
7 goes into 21 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 21 from 21 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 7

Step 3:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 30
Subtract 0 from 4 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Step 4:
7 goes into 46 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 306
Subtract 42 from 46 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 7

Step 5:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 3065
Subtract 35 from 40 to get 5.

The final result is 3065 with a remainder of 5.