Explain why 8,000: 800 = 10

Cross out the number of 0s both numbers have in common cross out both 0s so that 800 is 8 and 8000 is 80 then divide 80:8=10

My explanation is that the number is 8,000 and 800 so you cross out 2 zeros from the 800=8 and you cross out 2 zeros from the 8,000 = 80 you cross out the zeros because there enough pairs to cross out so after you do 80 divided by 8 is 10!