Solve 17905\div17 | Equatix

Question

$$17905 \div 17$$

Evaluate

$\frac{17905}{17}\approx 1053.235294118$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $17905$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)17905}\\\end{array}$$

Since $1$ is less than $17$, use the next digit $7$ from dividend $17905$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)17905}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $17905$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)17905}\\\end{array}$$

Find closest multiple of $17$ to $17$. We see that $1 \times 17 = 17$ is the nearest. Now subtract $17$ from $17$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)17905}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)99}0\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $17905$

$$\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)17905}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)99}9\\\end{array}$$

Since $9$ is less than $17$, use the next digit $0$ from dividend $17905$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}010\phantom{6}\\17\overline{)17905}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)99}9\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $17905$

$$\begin{array}{l}\phantom{17)}010\phantom{7}\\17\overline{)17905}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)99}90\\\end{array}$$

Find closest multiple of $17$ to $90$. We see that $5 \times 17 = 85$ is the nearest. Now subtract $85$ from $90$ to get reminder $5$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{17)}0105\phantom{8}\\17\overline{)17905}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)99}90\\\phantom{17)}\underline{\phantom{99}85\phantom{9}}\\\phantom{17)999}5\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $17905$

$$\begin{array}{l}\phantom{17)}0105\phantom{9}\\17\overline{)17905}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)99}90\\\phantom{17)}\underline{\phantom{99}85\phantom{9}}\\\phantom{17)999}55\\\end{array}$$

Find closest multiple of $17$ to $55$. We see that $3 \times 17 = 51$ is the nearest. Now subtract $51$ from $55$ to get reminder $4$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{17)}01053\phantom{10}\\17\overline{)17905}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)99}90\\\phantom{17)}\underline{\phantom{99}85\phantom{9}}\\\phantom{17)999}55\\\phantom{17)}\underline{\phantom{999}51\phantom{}}\\\phantom{17)9999}4\\\end{array}$$

Since $4$ is less than $17$, stop the division. The reminder is $4$. The topmost line $01053$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1053$.

$$\text{Quotient: }1053$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{5 \cdot 3581}{17} = 1053\frac{4}{17} = 1053.235294117647$

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Steps For Long Division Method

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