72269 ÷ 7 = 10324 R1
Let's divide 72269 by 7.

Step 1:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 7 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 7

Step 2:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 7

Step 3:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 21 from 22 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: 1032
Subtract 14 from 16 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 5:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 10324
Subtract 28 from 29 to get 1.

The final result is 10324 with a remainder of 1.