64107 ÷ 3 = 21369 R0
Alright, let's work through the division of 64107 by 3 step by step.

Step 1:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 6 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 2:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 3 from 4 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Step 3:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 213
Subtract 9 from 11 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 4:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 2136
Subtract 18 from 20 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Step 5:
3 goes into 27 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 21369
Subtract 27 from 27 to get 0.

The final result is 21369 with a remainder of 0.