Solve 867div225

$$867 \div 225$$

Evaluate

$$\frac{289}{75}\approx 3.853333333$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 867

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)867}\\\end{array}$$

Since 8 is less than 225, use the next digit 6 from dividend 867 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)867}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 867

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)867}\\\end{array}$$

Since 86 is less than 225, use the next digit 7 from dividend 867 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)867}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 867

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)867}\\\end{array}$$

Find closest multiple of 225 to 867. We see that 3 \times 225 = 675 is the nearest. Now subtract 675 from 867 to get reminder 192. Add 3 to quotient.

$$\begin{array}{l}\phantom{225)}003\phantom{6}\\225\overline{)867}\\\phantom{225)}\underline{\phantom{}675\phantom{}}\\\phantom{225)}192\\\end{array}$$

Since 192 is less than 225, stop the division. The reminder is 192. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }192$$

Factor

$$\frac{17 ^ {2}}{3 \cdot 5 ^ {2}} = 3\frac{64}{75} = 3.8533333333333335$$