Solve googlelongdiv 375 506948 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\googlelongdiv{375}{506948}$$

Evaluate

$\frac{506948}{375}\approx 1351.861333333$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $506948$

$$\begin{array}{l}\phantom{375)}\phantom{1}\\375\overline{)506948}\\\end{array}$$

Since $5$ is less than $375$, use the next digit $0$ from dividend $506948$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{375)}0\phantom{2}\\375\overline{)506948}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $506948$

$$\begin{array}{l}\phantom{375)}0\phantom{3}\\375\overline{)506948}\\\end{array}$$

Since $50$ is less than $375$, use the next digit $6$ from dividend $506948$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{375)}00\phantom{4}\\375\overline{)506948}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $506948$

$$\begin{array}{l}\phantom{375)}00\phantom{5}\\375\overline{)506948}\\\end{array}$$

Find closest multiple of $375$ to $506$. We see that $1 \times 375 = 375$ is the nearest. Now subtract $375$ from $506$ to get reminder $131$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{375)}001\phantom{6}\\375\overline{)506948}\\\phantom{375)}\underline{\phantom{}375\phantom{999}}\\\phantom{375)}131\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $506948$

$$\begin{array}{l}\phantom{375)}001\phantom{7}\\375\overline{)506948}\\\phantom{375)}\underline{\phantom{}375\phantom{999}}\\\phantom{375)}1319\\\end{array}$$

Find closest multiple of $375$ to $1319$. We see that $3 \times 375 = 1125$ is the nearest. Now subtract $1125$ from $1319$ to get reminder $194$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{375)}0013\phantom{8}\\375\overline{)506948}\\\phantom{375)}\underline{\phantom{}375\phantom{999}}\\\phantom{375)}1319\\\phantom{375)}\underline{\phantom{}1125\phantom{99}}\\\phantom{375)9}194\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $506948$

$$\begin{array}{l}\phantom{375)}0013\phantom{9}\\375\overline{)506948}\\\phantom{375)}\underline{\phantom{}375\phantom{999}}\\\phantom{375)}1319\\\phantom{375)}\underline{\phantom{}1125\phantom{99}}\\\phantom{375)9}1944\\\end{array}$$

Find closest multiple of $375$ to $1944$. We see that $5 \times 375 = 1875$ is the nearest. Now subtract $1875$ from $1944$ to get reminder $69$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{375)}00135\phantom{10}\\375\overline{)506948}\\\phantom{375)}\underline{\phantom{}375\phantom{999}}\\\phantom{375)}1319\\\phantom{375)}\underline{\phantom{}1125\phantom{99}}\\\phantom{375)9}1944\\\phantom{375)}\underline{\phantom{9}1875\phantom{9}}\\\phantom{375)999}69\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $506948$

$$\begin{array}{l}\phantom{375)}00135\phantom{11}\\375\overline{)506948}\\\phantom{375)}\underline{\phantom{}375\phantom{999}}\\\phantom{375)}1319\\\phantom{375)}\underline{\phantom{}1125\phantom{99}}\\\phantom{375)9}1944\\\phantom{375)}\underline{\phantom{9}1875\phantom{9}}\\\phantom{375)999}698\\\end{array}$$

Find closest multiple of $375$ to $698$. We see that $1 \times 375 = 375$ is the nearest. Now subtract $375$ from $698$ to get reminder $323$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{375)}001351\phantom{12}\\375\overline{)506948}\\\phantom{375)}\underline{\phantom{}375\phantom{999}}\\\phantom{375)}1319\\\phantom{375)}\underline{\phantom{}1125\phantom{99}}\\\phantom{375)9}1944\\\phantom{375)}\underline{\phantom{9}1875\phantom{9}}\\\phantom{375)999}698\\\phantom{375)}\underline{\phantom{999}375\phantom{}}\\\phantom{375)999}323\\\end{array}$$

Since $323$ is less than $375$, stop the division. The reminder is $323$. The topmost line $001351$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1351$.

$$\text{Quotient: }1351$$ $$\text{Reminder: }323$$

Factor

$\frac{2 ^ {2} \cdot 13 \cdot 9749}{3 \cdot 5 ^ {3}} = 1351\frac{323}{375} = 1351.8613333333333$