Sure! Let's perform the division [tex]\( \frac{3262}{34} \)[/tex] step-by-step:
Step 1: Understand the task
We need to divide the dividend, 3262, by the divisor, 34, and find both the quotient and the remainder.
Step 2: Set up the division
When performing long division, we start by dividing the leftmost digits of the dividend by the divisor. Here, we begin with the number 3262 and divide by 34.
Step 3: Determine how many times 34 fits into the initial part of the dividend
1. Divide 326 by 34:
- 34 goes into 326 approximately 9 times, since [tex]\( 34 \times 9 = 306 \)[/tex].
- Write down 9 as part of the quotient.
- Subtract [tex]\( 306 \)[/tex] from [tex]\( 326 \)[/tex]:
[tex]\[
326 - 306 = 20
\][/tex]
2. Bring down the next digit (2):
- Now we have 202 to divide by 34.
3. Divide 202 by 34:
- 34 goes into 202 approximately 5 times, since [tex]\( 34 \times 5 = 170 \)[/tex].
- Write down 5 as the next digit in the quotient.
- Subtract [tex]\(170 \)[/tex] from [tex]\(202 \)[/tex]:
[tex]\[
202 - 170 = 32
\][/tex]
Step 4: Combine all the parts of the quotient
The quotient is the number formed by combining the individual parts we wrote down: 9 and 5, so the quotient is 95.
Step 5: Identify the remainder
After subtracting [tex]\( 170 \times 5 \)[/tex] from the last part of the dividend (202), we are left with 32. This is the remainder.
Final Result
- Quotient: [tex]\( 95 \)[/tex]
- Remainder: [tex]\( 32 \)[/tex]
So, the result of dividing [tex]\( 3262 \)[/tex] by [tex]\( 34 \)[/tex] gives a quotient of [tex]\( 95 \)[/tex] and a remainder of [tex]\( 32 \)[/tex].
