The value of 774 ÷ 3 is ________. 

The correct answer is: 258

In Mathematics, an area model is a rectangular model used for calculation of a division and multiplication of numbers. Here, we define quotient and divisor as length and width of a rectangle.
METHOD: One can do division in area model through blocks. we first try to divide the first most number of a dividend with the divisor and replace rest of the places of the dividend as 0  and so on till we get the number that is less than divisor as a remainder.
Answer: As we seen the method for division of numbers using area model then, Our goal is to find 774÷3 hence, let us try to evaluate through blocks of a area model.
In block representation since only dividend changes I only updated dividend. Divisor remains constant in area model.
Hence, Area model gives area as:                                                                    200                   50             8

774	174	24
174	24	0

Hence, We have got total area as 258.
Answer for 774÷3 ==258.

Area model block diagram size depends on number of digits in divisor and dividend. One can obtain number of blocks as product of number of digits in divisor to the number of digits in the dividend.
Hence, In our Question we have got 32= 6 blocks.
Block table creation:                            200            50           8