How to solve (8037)/(78)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (8037)/(78) | Equatix

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Question

$$\frac{ 8037 }{ 78 }$$

Evaluate

$\frac{2679}{26}\approx 103.038461538$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $8037$

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)8037}\\\end{array}$$

Since $8$ is less than $78$, use the next digit $0$ from dividend $8037$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)8037}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $8037$

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)8037}\\\end{array}$$

Find closest multiple of $78$ to $80$. We see that $1 \times 78 = 78$ is the nearest. Now subtract $78$ from $80$ to get reminder $2$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{78)}01\phantom{4}\\78\overline{)8037}\\\phantom{78)}\underline{\phantom{}78\phantom{99}}\\\phantom{78)9}2\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $8037$

$$\begin{array}{l}\phantom{78)}01\phantom{5}\\78\overline{)8037}\\\phantom{78)}\underline{\phantom{}78\phantom{99}}\\\phantom{78)9}23\\\end{array}$$

Since $23$ is less than $78$, use the next digit $7$ from dividend $8037$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}010\phantom{6}\\78\overline{)8037}\\\phantom{78)}\underline{\phantom{}78\phantom{99}}\\\phantom{78)9}23\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $8037$

$$\begin{array}{l}\phantom{78)}010\phantom{7}\\78\overline{)8037}\\\phantom{78)}\underline{\phantom{}78\phantom{99}}\\\phantom{78)9}237\\\end{array}$$

Find closest multiple of $78$ to $237$. We see that $3 \times 78 = 234$ is the nearest. Now subtract $234$ from $237$ to get reminder $3$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{78)}0103\phantom{8}\\78\overline{)8037}\\\phantom{78)}\underline{\phantom{}78\phantom{99}}\\\phantom{78)9}237\\\phantom{78)}\underline{\phantom{9}234\phantom{}}\\\phantom{78)999}3\\\end{array}$$

Since $3$ is less than $78$, stop the division. The reminder is $3$. The topmost line $0103$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $103$.

$$\text{Quotient: }103$$ $$\text{Reminder: }3$$

Show Solution

Factor

$\frac{3 \cdot 19 \cdot 47}{2 \cdot 13} = 103\frac{1}{26} = 103.03846153846153$