Solve 525div205

$$525 \div 205$$

Evaluate

$$\frac{105}{41}\approx 2.56097561$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 525

$$\begin{array}{l}\phantom{205)}\phantom{1}\\205\overline{)525}\\\end{array}$$

Since 5 is less than 205, use the next digit 2 from dividend 525 and add 0 to the quotient

$$\begin{array}{l}\phantom{205)}0\phantom{2}\\205\overline{)525}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 525

$$\begin{array}{l}\phantom{205)}0\phantom{3}\\205\overline{)525}\\\end{array}$$

Since 52 is less than 205, use the next digit 5 from dividend 525 and add 0 to the quotient

$$\begin{array}{l}\phantom{205)}00\phantom{4}\\205\overline{)525}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 525

$$\begin{array}{l}\phantom{205)}00\phantom{5}\\205\overline{)525}\\\end{array}$$

Find closest multiple of 205 to 525. We see that 2 \times 205 = 410 is the nearest. Now subtract 410 from 525 to get reminder 115. Add 2 to quotient.

$$\begin{array}{l}\phantom{205)}002\phantom{6}\\205\overline{)525}\\\phantom{205)}\underline{\phantom{}410\phantom{}}\\\phantom{205)}115\\\end{array}$$

Since 115 is less than 205, stop the division. The reminder is 115. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }115$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{41} = 2\frac{23}{41} = 2.5609756097560976$$