Solve 520/14

$$\frac{ 520 }{ 14 }$$

Evaluate

$$\frac{260}{7}\approx 37.142857143$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)520}\\\end{array}$$

Since 5 is less than 14, use the next digit 2 from dividend 520 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)520}\\\end{array}$$

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

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)520}\\\end{array}$$

Find closest multiple of 14 to 52. We see that 3 \times 14 = 42 is the nearest. Now subtract 42 from 52 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{14)}03\phantom{4}\\14\overline{)520}\\\phantom{14)}\underline{\phantom{}42\phantom{9}}\\\phantom{14)}10\\\end{array}$$

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

$$\begin{array}{l}\phantom{14)}03\phantom{5}\\14\overline{)520}\\\phantom{14)}\underline{\phantom{}42\phantom{9}}\\\phantom{14)}100\\\end{array}$$

Find closest multiple of 14 to 100. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 100 to get reminder 2. Add 7 to quotient.

$$\begin{array}{l}\phantom{14)}037\phantom{6}\\14\overline{)520}\\\phantom{14)}\underline{\phantom{}42\phantom{9}}\\\phantom{14)}100\\\phantom{14)}\underline{\phantom{9}98\phantom{}}\\\phantom{14)99}2\\\end{array}$$

Since 2 is less than 14, stop the division. The reminder is 2. The topmost line 037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 13}{7} = 37\frac{1}{7} = 37.142857142857146$$