The correct option is
D x = 232
y = 2
Total number of candies = 1,406
Number of candies in a box = 6
To determine the number of boxes with 6 candies and 7 candies, we have to calculate 1406
÷ 6 and find the remainder.
Let us solve this through partial quotient method.
First, we write the values in the long division bracket.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1187200/original_Screenshot_2021-06-17_083847.png)
Now, we find an easier multiple of the divisor, 6, which is closer to the dividend 1,406.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1187202/original_Screenshot_2021-06-17_084328.png)
We subtract the easier multiple 1,200 from the dividend 1,406 and write the partial quotients in the right column.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1187203/original_Screenshot_2021-06-17_083912.png)
Let's keep repeating the process until the dividend is reduced to zero or the remainder is less than the divisor.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1189048/original_Screenshot_2021-06-18_025326.png)
Now, we add all the partial quotients.
Final quotient = 200 + 30 + 4 = 234
Remainder = 2
Now, the number of boxes with 6 candies each is 234 and we have 2 remaining candies.
Let's distribute 2 candies in the box of 6 candies each.
Now, we have 2 boxes with 7 candies each.
∴ Number of boxes with 6 candies = 234 - 2 = 232
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1189049/original_Screenshot_2021-06-18_025625.png)