Solve 1920div52

$$1920 \div 52$$

Evaluate

$$\frac{480}{13}\approx 36.923076923$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1920

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)1920}\\\end{array}$$

Since 1 is less than 52, use the next digit 9 from dividend 1920 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)1920}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1920

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)1920}\\\end{array}$$

Since 19 is less than 52, use the next digit 2 from dividend 1920 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)1920}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1920

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)1920}\\\end{array}$$

Find closest multiple of 52 to 192. We see that 3 \times 52 = 156 is the nearest. Now subtract 156 from 192 to get reminder 36. Add 3 to quotient.

$$\begin{array}{l}\phantom{52)}003\phantom{6}\\52\overline{)1920}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}36\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1920

$$\begin{array}{l}\phantom{52)}003\phantom{7}\\52\overline{)1920}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}360\\\end{array}$$

Find closest multiple of 52 to 360. We see that 6 \times 52 = 312 is the nearest. Now subtract 312 from 360 to get reminder 48. Add 6 to quotient.

$$\begin{array}{l}\phantom{52)}0036\phantom{8}\\52\overline{)1920}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}360\\\phantom{52)}\underline{\phantom{9}312\phantom{}}\\\phantom{52)99}48\\\end{array}$$

Since 48 is less than 52, stop the division. The reminder is 48. The topmost line 0036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }48$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5}{13} = 36\frac{12}{13} = 36.92307692307692$$