21934 ÷ 7 = 3133 R3
Alright, let's work through the division of 21934 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 (9) of the dividend behind the 0 and repeat the process: 9 / 7

Step 3:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 31
Subtract 7 from 9 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 7

Step 4:
7 goes into 23 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 313
Subtract 21 from 23 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Step 5:
7 goes into 24 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 3133
Subtract 21 from 24 to get 3.

The final result is 3133 with a remainder of 3.