Solve 360div224

$$360 \div 224$$

Evaluate

$$\frac{45}{28}\approx 1.607142857$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 360

$$\begin{array}{l}\phantom{224)}\phantom{1}\\224\overline{)360}\\\end{array}$$

Since 3 is less than 224, use the next digit 6 from dividend 360 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}0\phantom{2}\\224\overline{)360}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 360

$$\begin{array}{l}\phantom{224)}0\phantom{3}\\224\overline{)360}\\\end{array}$$

Since 36 is less than 224, use the next digit 0 from dividend 360 and add 0 to the quotient

$$\begin{array}{l}\phantom{224)}00\phantom{4}\\224\overline{)360}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 360

$$\begin{array}{l}\phantom{224)}00\phantom{5}\\224\overline{)360}\\\end{array}$$

Find closest multiple of 224 to 360. We see that 1 \times 224 = 224 is the nearest. Now subtract 224 from 360 to get reminder 136. Add 1 to quotient.

$$\begin{array}{l}\phantom{224)}001\phantom{6}\\224\overline{)360}\\\phantom{224)}\underline{\phantom{}224\phantom{}}\\\phantom{224)}136\\\end{array}$$

Since 136 is less than 224, stop the division. The reminder is 136. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }136$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2} \cdot 7} = 1\frac{17}{28} = 1.6071428571428572$$