77489 ÷ 4 = 19372 R1
Alright, let's work through the division of 77489 by 4 step by step.

Step 1:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 7 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 4

Step 2:
4 goes into 37 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 36 from 37 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 4

Step 3:
4 goes into 14 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 193
Subtract 12 from 14 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 4

Step 4:
4 goes into 28 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 1937
Subtract 28 from 28 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: 19372
Subtract 8 from 9 to get 1.

The final result is 19372 with a remainder of 1.