10869 ÷ 7 = 1552 R5
Alright, let's work through the division of 10869 by 7 step by step.

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 (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 2:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 10 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 3:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 35 from 38 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 7

Step 4:
7 goes into 36 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 155
Subtract 35 from 36 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 7

Step 5:
7 goes into 19 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 1552
Subtract 14 from 19 to get 5.

The final result is 1552 with a remainder of 5.