20564 ÷ 7 = 2937 R5
Alright, let's work through the division of 20564 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 (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 2:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 14 from 20 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 3:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 29
Subtract 63 from 65 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 4:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 293
Subtract 21 from 26 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Step 5:
7 goes into 54 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 2937
Subtract 49 from 54 to get 5.

The final result is 2937 with a remainder of 5.