Solve 520:480

$$520 : 480$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 520

$$\begin{array}{l}\phantom{480)}\phantom{1}\\480\overline{)520}\\\end{array}$$

Since 5 is less than 480, use the next digit 2 from dividend 520 and add 0 to the quotient

$$\begin{array}{l}\phantom{480)}0\phantom{2}\\480\overline{)520}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 520

$$\begin{array}{l}\phantom{480)}0\phantom{3}\\480\overline{)520}\\\end{array}$$

Since 52 is less than 480, use the next digit 0 from dividend 520 and add 0 to the quotient

$$\begin{array}{l}\phantom{480)}00\phantom{4}\\480\overline{)520}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 520

$$\begin{array}{l}\phantom{480)}00\phantom{5}\\480\overline{)520}\\\end{array}$$

Find closest multiple of 480 to 520. We see that 1 \times 480 = 480 is the nearest. Now subtract 480 from 520 to get reminder 40. Add 1 to quotient.

$$\begin{array}{l}\phantom{480)}001\phantom{6}\\480\overline{)520}\\\phantom{480)}\underline{\phantom{}480\phantom{}}\\\phantom{480)9}40\\\end{array}$$

Since 40 is less than 480, stop the division. The reminder is 40. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }40$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$