Solve 25754\div34 | Equatix

Question

$$25754 \div 34$$

Evaluate

$\frac{12877}{17}\approx 757.470588235$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $25754$

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)25754}\\\end{array}$$

Since $2$ is less than $34$, use the next digit $5$ from dividend $25754$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)25754}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $25754$

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)25754}\\\end{array}$$

Since $25$ is less than $34$, use the next digit $7$ from dividend $25754$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)25754}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $25754$

$$\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)25754}\\\end{array}$$

Find closest multiple of $34$ to $257$. We see that $7 \times 34 = 238$ is the nearest. Now subtract $238$ from $257$ to get reminder $19$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{34)}007\phantom{6}\\34\overline{)25754}\\\phantom{34)}\underline{\phantom{}238\phantom{99}}\\\phantom{34)9}19\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $25754$

$$\begin{array}{l}\phantom{34)}007\phantom{7}\\34\overline{)25754}\\\phantom{34)}\underline{\phantom{}238\phantom{99}}\\\phantom{34)9}195\\\end{array}$$

Find closest multiple of $34$ to $195$. We see that $5 \times 34 = 170$ is the nearest. Now subtract $170$ from $195$ to get reminder $25$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{34)}0075\phantom{8}\\34\overline{)25754}\\\phantom{34)}\underline{\phantom{}238\phantom{99}}\\\phantom{34)9}195\\\phantom{34)}\underline{\phantom{9}170\phantom{9}}\\\phantom{34)99}25\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $25754$

$$\begin{array}{l}\phantom{34)}0075\phantom{9}\\34\overline{)25754}\\\phantom{34)}\underline{\phantom{}238\phantom{99}}\\\phantom{34)9}195\\\phantom{34)}\underline{\phantom{9}170\phantom{9}}\\\phantom{34)99}254\\\end{array}$$

Find closest multiple of $34$ to $254$. We see that $7 \times 34 = 238$ is the nearest. Now subtract $238$ from $254$ to get reminder $16$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{34)}00757\phantom{10}\\34\overline{)25754}\\\phantom{34)}\underline{\phantom{}238\phantom{99}}\\\phantom{34)9}195\\\phantom{34)}\underline{\phantom{9}170\phantom{9}}\\\phantom{34)99}254\\\phantom{34)}\underline{\phantom{99}238\phantom{}}\\\phantom{34)999}16\\\end{array}$$

Since $16$ is less than $34$, stop the division. The reminder is $16$. The topmost line $00757$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $757$.

$$\text{Quotient: }757$$ $$\text{Reminder: }16$$

Show Solution

Factor

$\frac{79 \cdot 163}{17} = 757\frac{8}{17} = 757.4705882352941$

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Steps For Long Division Method

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