7421 ÷ 8 = 927 R5
Let's divide 7421 by 8.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 8

Step 2:
8 goes into 74 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 74 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 8

Step 3:
8 goes into 22 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 92
Subtract 16 from 22 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 4:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 927
Subtract 56 from 61 to get 5.

The final result is 927 with a remainder of 5.