Solve 672div225

$$672 \div 225$$

Evaluate

$$\frac{224}{75}\approx 2.986666667$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 672

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)672}\\\end{array}$$

Since 6 is less than 225, use the next digit 7 from dividend 672 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)672}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 672

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)672}\\\end{array}$$

Since 67 is less than 225, use the next digit 2 from dividend 672 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)672}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 672

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)672}\\\end{array}$$

Find closest multiple of 225 to 672. We see that 2 \times 225 = 450 is the nearest. Now subtract 450 from 672 to get reminder 222. Add 2 to quotient.

$$\begin{array}{l}\phantom{225)}002\phantom{6}\\225\overline{)672}\\\phantom{225)}\underline{\phantom{}450\phantom{}}\\\phantom{225)}222\\\end{array}$$

Since 222 is less than 225, stop the division. The reminder is 222. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }222$$

Factor

$$\frac{2 ^ {5} \cdot 7}{3 \cdot 5 ^ {2}} = 2\frac{74}{75} = 2.986666666666667$$