45894 ÷ 4 = 11473 R2
Alright, let's work through the division of 45894 by 4 step by step.

Step 1:
4 goes into 4 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 4 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 4

Step 2:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 4 from 5 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 4

Step 3:
4 goes into 18 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 114
Subtract 16 from 18 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 4:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1147
Subtract 28 from 29 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 4

Step 5:
4 goes into 14 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 11473
Subtract 12 from 14 to get 2.

The final result is 11473 with a remainder of 2.