86553 ÷ 4 = 21638 R1
Let's divide 86553 by 4.

Step 1:
4 goes into 8 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 8 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 4

Step 2:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 4 from 6 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Step 3:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 216
Subtract 24 from 25 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

Step 4:
4 goes into 15 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 2163
Subtract 12 from 15 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 5:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 21638
Subtract 32 from 33 to get 1.

The final result is 21638 with a remainder of 1.