Solve 2584div52

$$2584 \div 52$$

Evaluate

$$\frac{646}{13}\approx 49.692307692$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2584

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)2584}\\\end{array}$$

Since 2 is less than 52, use the next digit 5 from dividend 2584 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)2584}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2584

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)2584}\\\end{array}$$

Since 25 is less than 52, use the next digit 8 from dividend 2584 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)2584}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2584

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)2584}\\\end{array}$$

Find closest multiple of 52 to 258. We see that 4 \times 52 = 208 is the nearest. Now subtract 208 from 258 to get reminder 50. Add 4 to quotient.

$$\begin{array}{l}\phantom{52)}004\phantom{6}\\52\overline{)2584}\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}50\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2584

$$\begin{array}{l}\phantom{52)}004\phantom{7}\\52\overline{)2584}\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}504\\\end{array}$$

Find closest multiple of 52 to 504. We see that 9 \times 52 = 468 is the nearest. Now subtract 468 from 504 to get reminder 36. Add 9 to quotient.

$$\begin{array}{l}\phantom{52)}0049\phantom{8}\\52\overline{)2584}\\\phantom{52)}\underline{\phantom{}208\phantom{9}}\\\phantom{52)9}504\\\phantom{52)}\underline{\phantom{9}468\phantom{}}\\\phantom{52)99}36\\\end{array}$$

Since 36 is less than 52, stop the division. The reminder is 36. The topmost line 0049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.

$$\text{Quotient: }49 \text{Reminder: }36$$

Factor

$$\frac{2 \cdot 17 \cdot 19}{13} = 49\frac{9}{13} = 49.69230769230769$$