Solve 2545div448

$$2545 \div 448$$

Evaluate

$$\frac{2545}{448}\approx 5.680803571$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2545

$$\begin{array}{l}\phantom{448)}\phantom{1}\\448\overline{)2545}\\\end{array}$$

Since 2 is less than 448, use the next digit 5 from dividend 2545 and add 0 to the quotient

$$\begin{array}{l}\phantom{448)}0\phantom{2}\\448\overline{)2545}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2545

$$\begin{array}{l}\phantom{448)}0\phantom{3}\\448\overline{)2545}\\\end{array}$$

Since 25 is less than 448, use the next digit 4 from dividend 2545 and add 0 to the quotient

$$\begin{array}{l}\phantom{448)}00\phantom{4}\\448\overline{)2545}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2545

$$\begin{array}{l}\phantom{448)}00\phantom{5}\\448\overline{)2545}\\\end{array}$$

Since 254 is less than 448, use the next digit 5 from dividend 2545 and add 0 to the quotient

$$\begin{array}{l}\phantom{448)}000\phantom{6}\\448\overline{)2545}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2545

$$\begin{array}{l}\phantom{448)}000\phantom{7}\\448\overline{)2545}\\\end{array}$$

Find closest multiple of 448 to 2545. We see that 5 \times 448 = 2240 is the nearest. Now subtract 2240 from 2545 to get reminder 305. Add 5 to quotient.

$$\begin{array}{l}\phantom{448)}0005\phantom{8}\\448\overline{)2545}\\\phantom{448)}\underline{\phantom{}2240\phantom{}}\\\phantom{448)9}305\\\end{array}$$

Since 305 is less than 448, stop the division. The reminder is 305. The topmost line 0005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }305$$

Factor

$$\frac{5 \cdot 509}{2 ^ {6} \cdot 7} = 5\frac{305}{448} = 5.680803571428571$$