83609 ÷ 7 = 11944 R1
Let's divide 83609 by 7.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 2:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 13 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 3:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 119
Subtract 63 from 66 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Step 4:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 1194
Subtract 28 from 30 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: 11944
Subtract 28 from 29 to get 1.

The final result is 11944 with a remainder of 1.