69583 ÷ 3 = 23194 R1
Alright, let's work through the division of 69583 by 3 step by step.

Step 1:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 6 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 3

Step 2:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 23
Subtract 9 from 9 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 3:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 231
Subtract 3 from 5 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Step 4:
3 goes into 28 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 2319
Subtract 27 from 28 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 5:
3 goes into 13 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 23194
Subtract 12 from 13 to get 1.

The final result is 23194 with a remainder of 1.