Question

i need to draw a diagram to show the solution to 2.6/0.4. and explain what the quotient mean?

Answer 1

You won't find any diagrams here, but division is just a shorthand way to subtract. 2.6/.4 tells you how many times you can subtract .4 from 2.6 without passing zero.

2.6 - .4 = 2.2
2.2 - .4 = 1.8
1.8 - .4 = 1.4
1.4 - .4 = 1.0
1.0 - .4 = 0.6
0.6 - .4 = 0.2
Now you must stop, since you can't subtract it again.

2.6/.4 = 5 with remainder 0.2

Now, notice that 0.2 is half of 0.4, so the answer without remainder is 5.5, since there are 5 1/2 instances of .4 in 2.6

2.6/.4 = 5.5 means that 5.5 times 0.4 = 2.6