The correct option is
A p = 473
t = 5$
Total number of gold coins with the Captain = 2,843
Number of crew members = 6
To determine the number of coins with crew members and Captain, we have to calculate the value of 2843
÷ 6 and find out the remainder.
Let us solve this through partial quotient method.
First, we write the values inside the long division bracket.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1187493/original_Screenshot_2021-06-17_112518.png)
Now, we find an easier multiple of the divisor 6, which is closer to the dividend 2,843.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1203138/original_616852_3.png)
We subtract the multiple 2,400 from the dividend 2,843 and write the partial quotients in the right column.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1203139/original_616852_5.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/1203141/original_616852_6.png)
Now, we add all the partial quotients.
∴ Final quotient = 400 + 70 + 3 = 473
Remainder = 5
Now, gold coins are shared equally among the crew members.
∴ Each crew member gets 473 coins.
The Captain takes the remainder coins.
∴ The captain gets 5 gold coins.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1203142/original_616852_7.png)
Hence,
p = 473 and
t = 5.