To solve this problem, we need to find the dividend given the divisor, partial quotients, and the remainder. Here are the steps:
1. Understand the Problem:
- Divisor: 47
- Partial Quotients: 20 and 6
- Remainder: 13
2. Calculate the Total Quotient:
The total quotient is the sum of the partial quotients.
[tex]\[
\text{Total Quotient} = 20 + 6 = 26
\][/tex]
3. Use the Relationship Between Dividend, Divisor, Quotient, and Remainder:
The formula to find the dividend is:
[tex]\[
\text{Dividend} = (\text{Total Quotient} \times \text{Divisor}) + \text{Remainder}
\][/tex]
4. Plug in the Values:
- Total Quotient: 26
- Divisor: 47
- Remainder: 13
[tex]\[
\text{Dividend} = (26 \times 47) + 13
\][/tex]
5. Calculate the Product and Sum:
- First, calculate the product:
[tex]\[
26 \times 47 = 1222
\][/tex]
- Then, add the remainder:
[tex]\[
1222 + 13 = 1235
\][/tex]
So, the dividend is [tex]\( 1235 \)[/tex].
Thus, the dividend is [tex]\( 1235 \)[/tex].
