30964 ÷ 7 = 4423 R3
Alright, let's work through the division of 30964 by 7 step by step.

Step 1:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Step 2:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 30 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 3:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 28 from 29 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 4:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 442
Subtract 14 from 16 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: 4423
Subtract 21 from 24 to get 3.

The final result is 4423 with a remainder of 3.