Solve 209762div104

$$209762 \div 104$$

Evaluate

$$\frac{104881}{52}\approx 2016.942307692$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 209762

$$\begin{array}{l}\phantom{104)}\phantom{1}\\104\overline{)209762}\\\end{array}$$

Since 2 is less than 104, use the next digit 0 from dividend 209762 and add 0 to the quotient

$$\begin{array}{l}\phantom{104)}0\phantom{2}\\104\overline{)209762}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 209762

$$\begin{array}{l}\phantom{104)}0\phantom{3}\\104\overline{)209762}\\\end{array}$$

Since 20 is less than 104, use the next digit 9 from dividend 209762 and add 0 to the quotient

$$\begin{array}{l}\phantom{104)}00\phantom{4}\\104\overline{)209762}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 209762

$$\begin{array}{l}\phantom{104)}00\phantom{5}\\104\overline{)209762}\\\end{array}$$

Find closest multiple of 104 to 209. We see that 2 \times 104 = 208 is the nearest. Now subtract 208 from 209 to get reminder 1. Add 2 to quotient.

$$\begin{array}{l}\phantom{104)}002\phantom{6}\\104\overline{)209762}\\\phantom{104)}\underline{\phantom{}208\phantom{999}}\\\phantom{104)99}1\\\end{array}$$

Use the 4^{th} digit 7 from dividend 209762

$$\begin{array}{l}\phantom{104)}002\phantom{7}\\104\overline{)209762}\\\phantom{104)}\underline{\phantom{}208\phantom{999}}\\\phantom{104)99}17\\\end{array}$$

Since 17 is less than 104, use the next digit 6 from dividend 209762 and add 0 to the quotient

$$\begin{array}{l}\phantom{104)}0020\phantom{8}\\104\overline{)209762}\\\phantom{104)}\underline{\phantom{}208\phantom{999}}\\\phantom{104)99}17\\\end{array}$$

Use the 5^{th} digit 6 from dividend 209762

$$\begin{array}{l}\phantom{104)}0020\phantom{9}\\104\overline{)209762}\\\phantom{104)}\underline{\phantom{}208\phantom{999}}\\\phantom{104)99}176\\\end{array}$$

Find closest multiple of 104 to 176. We see that 1 \times 104 = 104 is the nearest. Now subtract 104 from 176 to get reminder 72. Add 1 to quotient.

$$\begin{array}{l}\phantom{104)}00201\phantom{10}\\104\overline{)209762}\\\phantom{104)}\underline{\phantom{}208\phantom{999}}\\\phantom{104)99}176\\\phantom{104)}\underline{\phantom{99}104\phantom{9}}\\\phantom{104)999}72\\\end{array}$$

Use the 6^{th} digit 2 from dividend 209762

$$\begin{array}{l}\phantom{104)}00201\phantom{11}\\104\overline{)209762}\\\phantom{104)}\underline{\phantom{}208\phantom{999}}\\\phantom{104)99}176\\\phantom{104)}\underline{\phantom{99}104\phantom{9}}\\\phantom{104)999}722\\\end{array}$$

Find closest multiple of 104 to 722. We see that 6 \times 104 = 624 is the nearest. Now subtract 624 from 722 to get reminder 98. Add 6 to quotient.

$$\begin{array}{l}\phantom{104)}002016\phantom{12}\\104\overline{)209762}\\\phantom{104)}\underline{\phantom{}208\phantom{999}}\\\phantom{104)99}176\\\phantom{104)}\underline{\phantom{99}104\phantom{9}}\\\phantom{104)999}722\\\phantom{104)}\underline{\phantom{999}624\phantom{}}\\\phantom{104)9999}98\\\end{array}$$

Since 98 is less than 104, stop the division. The reminder is 98. The topmost line 002016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2016.

$$\text{Quotient: }2016 \text{Reminder: }98$$

Factor

$$\frac{7 \cdot 14983}{2 ^ {2} \cdot 13} = 2016\frac{49}{52} = 2016.9423076923076$$