Answer :
To solve the division problem [tex]$1564 \div 234$[/tex], follow these steps:
1. Divide: Start by dividing the first few digits of the dividend by the divisor. Here, take the first three digits of the dividend, 156. Determine how many times 234 can fit into 156. It doesn’t fit, so take another digit from the dividend to make it 1564.
2. Estimate the Quotient: Now consider how many times 234 can fit into 1564. A rough estimate shows that 234 goes approximately 6 times into 1564.
3. Multiply and Subtract: Multiply 234 by 6 and subtract the result from 1564.
[tex]\[
234 \times 6 = 1404
\][/tex]
[tex]\[
1564 - 1404 = 160
\][/tex]
4. Find the Remainder: Notice that after subtracting, we are left with a remainder of 160.
Therefore, the quotient of the division [tex]$1564 \div 234$[/tex] is 6 with a remainder of 160.
So, the answer is B. 6 r 160.
1. Divide: Start by dividing the first few digits of the dividend by the divisor. Here, take the first three digits of the dividend, 156. Determine how many times 234 can fit into 156. It doesn’t fit, so take another digit from the dividend to make it 1564.
2. Estimate the Quotient: Now consider how many times 234 can fit into 1564. A rough estimate shows that 234 goes approximately 6 times into 1564.
3. Multiply and Subtract: Multiply 234 by 6 and subtract the result from 1564.
[tex]\[
234 \times 6 = 1404
\][/tex]
[tex]\[
1564 - 1404 = 160
\][/tex]
4. Find the Remainder: Notice that after subtracting, we are left with a remainder of 160.
Therefore, the quotient of the division [tex]$1564 \div 234$[/tex] is 6 with a remainder of 160.
So, the answer is B. 6 r 160.
