93421 ÷ 7 = 13345 R6
Alright, let's work through the division of 93421 by 7 step by step.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 7

Step 2:
7 goes into 23 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 23 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Step 3:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 133
Subtract 21 from 24 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 7

Step 4:
7 goes into 32 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 1334
Subtract 28 from 32 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 5:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 13345
Subtract 35 from 41 to get 6.

The final result is 13345 with a remainder of 6.