Given the description of the model, where two rectangular strips are shown, each labeled 1 and divided into 5 equal parts, this suggests that we are working with fractions that are based on fifths.
Looking at the options provided, the division problem that best fits the description of dividing one whole into fifths would be:
2 ÷ 5 (2 divided by 5)
This option reflects the idea of comparing a total of 2 (the two strips) divided into parts of size 1/5 (the strips being divided into 5 equal parts).
The other options, particularly those involving fractions (like 1 over 10) or other divisors, do not align with the visual of dividing into fifths. Thus, 2 ÷ 5 is the appropriate choice based on the model described.