How to solve 215798/215

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 215798/215 | Equatix

Question

$$215798\div215$$

Evaluate

$\frac{215798}{215}\approx 1003.711627907$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $215798$

$$\begin{array}{l}\phantom{215)}\phantom{1}\\215\overline{)215798}\\\end{array}$$

Since $2$ is less than $215$, use the next digit $1$ from dividend $215798$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{215)}0\phantom{2}\\215\overline{)215798}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $215798$

$$\begin{array}{l}\phantom{215)}0\phantom{3}\\215\overline{)215798}\\\end{array}$$

Since $21$ is less than $215$, use the next digit $5$ from dividend $215798$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{215)}00\phantom{4}\\215\overline{)215798}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $215798$

$$\begin{array}{l}\phantom{215)}00\phantom{5}\\215\overline{)215798}\\\end{array}$$

Find closest multiple of $215$ to $215$. We see that $1 \times 215 = 215$ is the nearest. Now subtract $215$ from $215$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{215)}001\phantom{6}\\215\overline{)215798}\\\phantom{215)}\underline{\phantom{}215\phantom{999}}\\\phantom{215)999}0\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $215798$

$$\begin{array}{l}\phantom{215)}001\phantom{7}\\215\overline{)215798}\\\phantom{215)}\underline{\phantom{}215\phantom{999}}\\\phantom{215)999}7\\\end{array}$$

Since $7$ is less than $215$, use the next digit $9$ from dividend $215798$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{215)}0010\phantom{8}\\215\overline{)215798}\\\phantom{215)}\underline{\phantom{}215\phantom{999}}\\\phantom{215)999}7\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $215798$

$$\begin{array}{l}\phantom{215)}0010\phantom{9}\\215\overline{)215798}\\\phantom{215)}\underline{\phantom{}215\phantom{999}}\\\phantom{215)999}79\\\end{array}$$

Since $79$ is less than $215$, use the next digit $8$ from dividend $215798$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{215)}00100\phantom{10}\\215\overline{)215798}\\\phantom{215)}\underline{\phantom{}215\phantom{999}}\\\phantom{215)999}79\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $215798$

$$\begin{array}{l}\phantom{215)}00100\phantom{11}\\215\overline{)215798}\\\phantom{215)}\underline{\phantom{}215\phantom{999}}\\\phantom{215)999}798\\\end{array}$$

Find closest multiple of $215$ to $798$. We see that $3 \times 215 = 645$ is the nearest. Now subtract $645$ from $798$ to get reminder $153$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{215)}001003\phantom{12}\\215\overline{)215798}\\\phantom{215)}\underline{\phantom{}215\phantom{999}}\\\phantom{215)999}798\\\phantom{215)}\underline{\phantom{999}645\phantom{}}\\\phantom{215)999}153\\\end{array}$$

Since $153$ is less than $215$, stop the division. The reminder is $153$. The topmost line $001003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1003$.

$$\text{Quotient: }1003$$ $$\text{Reminder: }153$$

Show Solution

Factor

$\frac{2 \cdot 11 \cdot 17 \cdot 577}{5 \cdot 43} = 1003\frac{153}{215} = 1003.7116279069768$

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Steps For Long Division Method

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