18577 ÷ 7 = 2653 R6
Sure thing! Let's divide 18577 by 7 together.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 7

Step 2:
7 goes into 18 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 14 from 18 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 3:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 26
Subtract 42 from 45 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 7

Step 4:
7 goes into 37 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 265
Subtract 35 from 37 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 5:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 2653
Subtract 21 from 27 to get 6.

The final result is 2653 with a remainder of 6.