Solve 282000div1710

$$282000 \div 1710$$

Evaluate

$$\frac{9400}{57}\approx 164.912280702$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 282000

$$\begin{array}{l}\phantom{1710)}\phantom{1}\\1710\overline{)282000}\\\end{array}$$

Since 2 is less than 1710, use the next digit 8 from dividend 282000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1710)}0\phantom{2}\\1710\overline{)282000}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 282000

$$\begin{array}{l}\phantom{1710)}0\phantom{3}\\1710\overline{)282000}\\\end{array}$$

Since 28 is less than 1710, use the next digit 2 from dividend 282000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1710)}00\phantom{4}\\1710\overline{)282000}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 282000

$$\begin{array}{l}\phantom{1710)}00\phantom{5}\\1710\overline{)282000}\\\end{array}$$

Since 282 is less than 1710, use the next digit 0 from dividend 282000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1710)}000\phantom{6}\\1710\overline{)282000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 282000

$$\begin{array}{l}\phantom{1710)}000\phantom{7}\\1710\overline{)282000}\\\end{array}$$

Find closest multiple of 1710 to 2820. We see that 1 \times 1710 = 1710 is the nearest. Now subtract 1710 from 2820 to get reminder 1110. Add 1 to quotient.

$$\begin{array}{l}\phantom{1710)}0001\phantom{8}\\1710\overline{)282000}\\\phantom{1710)}\underline{\phantom{}1710\phantom{99}}\\\phantom{1710)}1110\\\end{array}$$

Use the 5^{th} digit 0 from dividend 282000

$$\begin{array}{l}\phantom{1710)}0001\phantom{9}\\1710\overline{)282000}\\\phantom{1710)}\underline{\phantom{}1710\phantom{99}}\\\phantom{1710)}11100\\\end{array}$$

Find closest multiple of 1710 to 11100. We see that 6 \times 1710 = 10260 is the nearest. Now subtract 10260 from 11100 to get reminder 840. Add 6 to quotient.

$$\begin{array}{l}\phantom{1710)}00016\phantom{10}\\1710\overline{)282000}\\\phantom{1710)}\underline{\phantom{}1710\phantom{99}}\\\phantom{1710)}11100\\\phantom{1710)}\underline{\phantom{}10260\phantom{9}}\\\phantom{1710)99}840\\\end{array}$$

Use the 6^{th} digit 0 from dividend 282000

$$\begin{array}{l}\phantom{1710)}00016\phantom{11}\\1710\overline{)282000}\\\phantom{1710)}\underline{\phantom{}1710\phantom{99}}\\\phantom{1710)}11100\\\phantom{1710)}\underline{\phantom{}10260\phantom{9}}\\\phantom{1710)99}8400\\\end{array}$$

Find closest multiple of 1710 to 8400. We see that 4 \times 1710 = 6840 is the nearest. Now subtract 6840 from 8400 to get reminder 1560. Add 4 to quotient.

$$\begin{array}{l}\phantom{1710)}000164\phantom{12}\\1710\overline{)282000}\\\phantom{1710)}\underline{\phantom{}1710\phantom{99}}\\\phantom{1710)}11100\\\phantom{1710)}\underline{\phantom{}10260\phantom{9}}\\\phantom{1710)99}8400\\\phantom{1710)}\underline{\phantom{99}6840\phantom{}}\\\phantom{1710)99}1560\\\end{array}$$

Since 1560 is less than 1710, stop the division. The reminder is 1560. The topmost line 000164 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 164.

$$\text{Quotient: }164 \text{Reminder: }1560$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 47}{3 \cdot 19} = 164\frac{52}{57} = 164.91228070175438$$