63045 ÷ 4 = 15761 R1
Alright, let's work through the division of 63045 by 4 step by step.

Step 1:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 6 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Step 2:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 20 from 23 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 3:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 157
Subtract 28 from 30 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 4

Step 4:
4 goes into 24 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 1576
Subtract 24 from 24 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 4

Step 5:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 15761
Subtract 4 from 5 to get 1.

The final result is 15761 with a remainder of 1.