Solve 83749\div17 | Equatix

Question

$$83749 \div 17$$

Evaluate

$\frac{83749}{17}\approx 4926.411764706$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $83749$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)83749}\\\end{array}$$

Since $8$ is less than $17$, use the next digit $3$ from dividend $83749$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)83749}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $83749$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)83749}\\\end{array}$$

Find closest multiple of $17$ to $83$. We see that $4 \times 17 = 68$ is the nearest. Now subtract $68$ from $83$ to get reminder $15$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)83749}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}15\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $83749$

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)83749}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}157\\\end{array}$$

Find closest multiple of $17$ to $157$. We see that $9 \times 17 = 153$ is the nearest. Now subtract $153$ from $157$ to get reminder $4$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{17)}049\phantom{6}\\17\overline{)83749}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}157\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}4\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $83749$

$$\begin{array}{l}\phantom{17)}049\phantom{7}\\17\overline{)83749}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}157\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}44\\\end{array}$$

Find closest multiple of $17$ to $44$. We see that $2 \times 17 = 34$ is the nearest. Now subtract $34$ from $44$ to get reminder $10$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{17)}0492\phantom{8}\\17\overline{)83749}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}157\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}44\\\phantom{17)}\underline{\phantom{99}34\phantom{9}}\\\phantom{17)99}10\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $83749$

$$\begin{array}{l}\phantom{17)}0492\phantom{9}\\17\overline{)83749}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}157\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}44\\\phantom{17)}\underline{\phantom{99}34\phantom{9}}\\\phantom{17)99}109\\\end{array}$$

Find closest multiple of $17$ to $109$. We see that $6 \times 17 = 102$ is the nearest. Now subtract $102$ from $109$ to get reminder $7$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{17)}04926\phantom{10}\\17\overline{)83749}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}157\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}44\\\phantom{17)}\underline{\phantom{99}34\phantom{9}}\\\phantom{17)99}109\\\phantom{17)}\underline{\phantom{99}102\phantom{}}\\\phantom{17)9999}7\\\end{array}$$

Since $7$ is less than $17$, stop the division. The reminder is $7$. The topmost line $04926$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4926$.

$$\text{Quotient: }4926$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{89 \cdot 941}{17} = 4926\frac{7}{17} = 4926.411764705882$

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Steps For Long Division Method

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