Solve 2400div52

$$2400 \div 52$$

Evaluate

$$\frac{600}{13}\approx 46.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2400

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)2400}\\\end{array}$$

Since 2 is less than 52, use the next digit 4 from dividend 2400 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)2400}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 2400

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)2400}\\\end{array}$$

Since 24 is less than 52, use the next digit 0 from dividend 2400 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)2400}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2400

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)2400}\\\end{array}$$

Find closest multiple of 52 to 240. We see that 4 \times 52 = 208 is the nearest. Now subtract 208 from 240 to get reminder 32. Add 4 to quotient.

$$\begin{array}{l}\phantom{52)}004\phantom{6}\\52\overline{)2400}\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}32\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2400

$$\begin{array}{l}\phantom{52)}004\phantom{7}\\52\overline{)2400}\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}320\\\end{array}$$

Find closest multiple of 52 to 320. We see that 6 \times 52 = 312 is the nearest. Now subtract 312 from 320 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{52)}0046\phantom{8}\\52\overline{)2400}\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}320\\\phantom{52)}\underline{\phantom{9}312\phantom{}}\\\phantom{52)999}8\\\end{array}$$

Since 8 is less than 52, stop the division. The reminder is 8. The topmost line 0046 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 46.

$$\text{Quotient: }46 \text{Reminder: }8$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {2}}{13} = 46\frac{2}{13} = 46.15384615384615$$