31569 ÷ 4 = 7892 R1
Alright, let's work through the division of 31569 by 4 step by step.

Step 1:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 2:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 28 from 31 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 4

Step 3:
4 goes into 35 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 78
Subtract 32 from 35 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Step 4:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 789
Subtract 36 from 36 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 4

Step 5:
4 goes into 9 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 7892
Subtract 8 from 9 to get 1.

The final result is 7892 with a remainder of 1.