Solve 137289\div17 | Equatix

Question

$$137289 \div 17$$

Evaluate

$\frac{137289}{17}\approx 8075.823529412$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $137289$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)137289}\\\end{array}$$

Since $1$ is less than $17$, use the next digit $3$ from dividend $137289$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)137289}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $137289$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)137289}\\\end{array}$$

Since $13$ is less than $17$, use the next digit $7$ from dividend $137289$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}00\phantom{4}\\17\overline{)137289}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $137289$

$$\begin{array}{l}\phantom{17)}00\phantom{5}\\17\overline{)137289}\\\end{array}$$

Find closest multiple of $17$ to $137$. We see that $8 \times 17 = 136$ is the nearest. Now subtract $136$ from $137$ to get reminder $1$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{17)}008\phantom{6}\\17\overline{)137289}\\\phantom{17)}\underline{\phantom{}136\phantom{999}}\\\phantom{17)99}1\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $137289$

$$\begin{array}{l}\phantom{17)}008\phantom{7}\\17\overline{)137289}\\\phantom{17)}\underline{\phantom{}136\phantom{999}}\\\phantom{17)99}12\\\end{array}$$

Since $12$ is less than $17$, use the next digit $8$ from dividend $137289$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0080\phantom{8}\\17\overline{)137289}\\\phantom{17)}\underline{\phantom{}136\phantom{999}}\\\phantom{17)99}12\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $137289$

$$\begin{array}{l}\phantom{17)}0080\phantom{9}\\17\overline{)137289}\\\phantom{17)}\underline{\phantom{}136\phantom{999}}\\\phantom{17)99}128\\\end{array}$$

Find closest multiple of $17$ to $128$. We see that $7 \times 17 = 119$ is the nearest. Now subtract $119$ from $128$ to get reminder $9$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{17)}00807\phantom{10}\\17\overline{)137289}\\\phantom{17)}\underline{\phantom{}136\phantom{999}}\\\phantom{17)99}128\\\phantom{17)}\underline{\phantom{99}119\phantom{9}}\\\phantom{17)9999}9\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $137289$

$$\begin{array}{l}\phantom{17)}00807\phantom{11}\\17\overline{)137289}\\\phantom{17)}\underline{\phantom{}136\phantom{999}}\\\phantom{17)99}128\\\phantom{17)}\underline{\phantom{99}119\phantom{9}}\\\phantom{17)9999}99\\\end{array}$$

Find closest multiple of $17$ to $99$. We see that $5 \times 17 = 85$ is the nearest. Now subtract $85$ from $99$ to get reminder $14$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{17)}008075\phantom{12}\\17\overline{)137289}\\\phantom{17)}\underline{\phantom{}136\phantom{999}}\\\phantom{17)99}128\\\phantom{17)}\underline{\phantom{99}119\phantom{9}}\\\phantom{17)9999}99\\\phantom{17)}\underline{\phantom{9999}85\phantom{}}\\\phantom{17)9999}14\\\end{array}$$

Since $14$ is less than $17$, stop the division. The reminder is $14$. The topmost line $008075$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $8075$.

$$\text{Quotient: }8075$$ $$\text{Reminder: }14$$

Show Solution

Factor

$\frac{3 \cdot 45763}{17} = 8075\frac{14}{17} = 8075.823529411765$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor