Solve 873\div225 | Equatix

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Question

$$873 \div 225$$

Evaluate

$\frac{97}{25}=3.88$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $873$

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)873}\\\end{array}$$

Since $8$ is less than $225$, use the next digit $7$ from dividend $873$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)873}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $873$

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)873}\\\end{array}$$

Since $87$ is less than $225$, use the next digit $3$ from dividend $873$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)873}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $873$

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)873}\\\end{array}$$

Find closest multiple of $225$ to $873$. We see that $3 \times 225 = 675$ is the nearest. Now subtract $675$ from $873$ to get reminder $198$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{225)}003\phantom{6}\\225\overline{)873}\\\phantom{225)}\underline{\phantom{}675\phantom{}}\\\phantom{225)}198\\\end{array}$$

Since $198$ is less than $225$, stop the division. The reminder is $198$. The topmost line $003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }198$$

Show Solution

Factor

$\frac{97}{5 ^ {2}} = 3\frac{22}{25} = 3.88$