Solve 8526div526

$$8526 \div 526$$

Evaluate

$$\frac{4263}{263}\approx 16.209125475$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8526

$$\begin{array}{l}\phantom{526)}\phantom{1}\\526\overline{)8526}\\\end{array}$$

Since 8 is less than 526, use the next digit 5 from dividend 8526 and add 0 to the quotient

$$\begin{array}{l}\phantom{526)}0\phantom{2}\\526\overline{)8526}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 8526

$$\begin{array}{l}\phantom{526)}0\phantom{3}\\526\overline{)8526}\\\end{array}$$

Since 85 is less than 526, use the next digit 2 from dividend 8526 and add 0 to the quotient

$$\begin{array}{l}\phantom{526)}00\phantom{4}\\526\overline{)8526}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 8526

$$\begin{array}{l}\phantom{526)}00\phantom{5}\\526\overline{)8526}\\\end{array}$$

Find closest multiple of 526 to 852. We see that 1 \times 526 = 526 is the nearest. Now subtract 526 from 852 to get reminder 326. Add 1 to quotient.

$$\begin{array}{l}\phantom{526)}001\phantom{6}\\526\overline{)8526}\\\phantom{526)}\underline{\phantom{}526\phantom{9}}\\\phantom{526)}326\\\end{array}$$

Use the 4^{th} digit 6 from dividend 8526

$$\begin{array}{l}\phantom{526)}001\phantom{7}\\526\overline{)8526}\\\phantom{526)}\underline{\phantom{}526\phantom{9}}\\\phantom{526)}3266\\\end{array}$$

Find closest multiple of 526 to 3266. We see that 6 \times 526 = 3156 is the nearest. Now subtract 3156 from 3266 to get reminder 110. Add 6 to quotient.

$$\begin{array}{l}\phantom{526)}0016\phantom{8}\\526\overline{)8526}\\\phantom{526)}\underline{\phantom{}526\phantom{9}}\\\phantom{526)}3266\\\phantom{526)}\underline{\phantom{}3156\phantom{}}\\\phantom{526)9}110\\\end{array}$$

Since 110 is less than 526, stop the division. The reminder is 110. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }110$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 29}{263} = 16\frac{55}{263} = 16.20912547528517$$