32407 ÷ 8 = 4050 R7
Alright, let's work through the division of 32407 by 8 step by step.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 8

Step 2:
8 goes into 32 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 32 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 8

Step 3:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 40
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 8

Step 4:
8 goes into 40 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 405
Subtract 40 from 40 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 8

Step 5:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 4050
Subtract 0 from 7 to get 7.

The final result is 4050 with a remainder of 7.