Solve 643\div11 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$643 \div 11$$

Evaluate

$\frac{643}{11}\approx 58.454545455$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $643$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)643}\\\end{array}$$

Since $6$ is less than $11$, use the next digit $4$ from dividend $643$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)643}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $643$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)643}\\\end{array}$$

Find closest multiple of $11$ to $64$. We see that $5 \times 11 = 55$ is the nearest. Now subtract $55$ from $64$ to get reminder $9$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{11)}05\phantom{4}\\11\overline{)643}\\\phantom{11)}\underline{\phantom{}55\phantom{9}}\\\phantom{11)9}9\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $643$

$$\begin{array}{l}\phantom{11)}05\phantom{5}\\11\overline{)643}\\\phantom{11)}\underline{\phantom{}55\phantom{9}}\\\phantom{11)9}93\\\end{array}$$

Find closest multiple of $11$ to $93$. We see that $8 \times 11 = 88$ is the nearest. Now subtract $88$ from $93$ to get reminder $5$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{11)}058\phantom{6}\\11\overline{)643}\\\phantom{11)}\underline{\phantom{}55\phantom{9}}\\\phantom{11)9}93\\\phantom{11)}\underline{\phantom{9}88\phantom{}}\\\phantom{11)99}5\\\end{array}$$

Since $5$ is less than $11$, stop the division. The reminder is $5$. The topmost line $058$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $58$.

$$\text{Quotient: }58$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{643}{11} = 58\frac{5}{11} = 58.45454545454545$