Answer :
Sure, let's go through the detailed steps to solve the division problem:
We need to calculate [tex]\(116,856 \div 3,246\)[/tex].
Step-by-Step Solution:
1. Set up the Division: Write [tex]\(116,856\)[/tex] (the dividend) under the division bar and [tex]\(3,246\)[/tex] (the divisor) outside.
2. Determine how many times 3,246 can fit into the first few digits of the dividend:
- 3,246 cannot go into 1 or 11.
- Check 116: 3,246 is bigger than 116, so we cannot use this part.
- Check 1,168: 3,246 is still bigger than 1,168, so we cannot use this part either.
- Check 11,685: 3,246 is smaller than 11,685.
3. Estimate the Quotient:
- We can approximate how many times 3,246 fits into 11,685.
- Let's calculate with rough estimates:
[tex]\[ \left\lfloor \frac{11685}{3246} \right\rfloor = 3 \][/tex] (since 3,246 multiplied by 3 is 9,738 and it's less than 11,685 but close).
4. Perform the Multiplication & Subtraction:
- Multiply the divisor by this number: [tex]\(3,246 \times 3 = 9,738\)[/tex].
- Subtract this result from 11,685: [tex]\(11,685 - 9,738 = 1,947\)[/tex].
5. Bring Down the Next Digit: Bring down the next digit from the dividend, 6, making the new number 19,476.
6. Repeat the Process:
- Check how many times 3,246 can go into 19,476.
- Estimate:
[tex]\[ \left\lfloor \frac{19476}{3246} \right\rfloor = 6 \][/tex] (since [tex]\(3,246 \times 6 = 19,476\)[/tex]).
7. Perform the Multiplication & Subtraction:
- Multiply the divisor by this number: [tex]\(3,246 \times 6 = 19,476\)[/tex].
- Subtract this result from 19,476: [tex]\(19,476 - 19,476 = 0\)[/tex].
Finally, combine the partial quotients to form the final quotient and leftover remainder if any:
[tex]\[ \frac{116,856}{3,246} = 36 \][/tex]
There is no remainder left, so the quotient of [tex]\(116,856\)[/tex] divided by [tex]\(3,246\)[/tex] is [tex]\(36\)[/tex], and the remainder is [tex]\(0\)[/tex].
So, the answer to the division problem [tex]\( \frac{116,856}{3,246} \)[/tex] is:
[tex]\[ \text{Quotient: } 36 \][/tex]
[tex]\[ \text{Remainder: } 0 \][/tex]
We need to calculate [tex]\(116,856 \div 3,246\)[/tex].
Step-by-Step Solution:
1. Set up the Division: Write [tex]\(116,856\)[/tex] (the dividend) under the division bar and [tex]\(3,246\)[/tex] (the divisor) outside.
2. Determine how many times 3,246 can fit into the first few digits of the dividend:
- 3,246 cannot go into 1 or 11.
- Check 116: 3,246 is bigger than 116, so we cannot use this part.
- Check 1,168: 3,246 is still bigger than 1,168, so we cannot use this part either.
- Check 11,685: 3,246 is smaller than 11,685.
3. Estimate the Quotient:
- We can approximate how many times 3,246 fits into 11,685.
- Let's calculate with rough estimates:
[tex]\[ \left\lfloor \frac{11685}{3246} \right\rfloor = 3 \][/tex] (since 3,246 multiplied by 3 is 9,738 and it's less than 11,685 but close).
4. Perform the Multiplication & Subtraction:
- Multiply the divisor by this number: [tex]\(3,246 \times 3 = 9,738\)[/tex].
- Subtract this result from 11,685: [tex]\(11,685 - 9,738 = 1,947\)[/tex].
5. Bring Down the Next Digit: Bring down the next digit from the dividend, 6, making the new number 19,476.
6. Repeat the Process:
- Check how many times 3,246 can go into 19,476.
- Estimate:
[tex]\[ \left\lfloor \frac{19476}{3246} \right\rfloor = 6 \][/tex] (since [tex]\(3,246 \times 6 = 19,476\)[/tex]).
7. Perform the Multiplication & Subtraction:
- Multiply the divisor by this number: [tex]\(3,246 \times 6 = 19,476\)[/tex].
- Subtract this result from 19,476: [tex]\(19,476 - 19,476 = 0\)[/tex].
Finally, combine the partial quotients to form the final quotient and leftover remainder if any:
[tex]\[ \frac{116,856}{3,246} = 36 \][/tex]
There is no remainder left, so the quotient of [tex]\(116,856\)[/tex] divided by [tex]\(3,246\)[/tex] is [tex]\(36\)[/tex], and the remainder is [tex]\(0\)[/tex].
So, the answer to the division problem [tex]\( \frac{116,856}{3,246} \)[/tex] is:
[tex]\[ \text{Quotient: } 36 \][/tex]
[tex]\[ \text{Remainder: } 0 \][/tex]
