Solve 2000div114

$$2000 \div 114$$

Evaluate

$$\frac{1000}{57}\approx 17.543859649$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2000

$$\begin{array}{l}\phantom{114)}\phantom{1}\\114\overline{)2000}\\\end{array}$$

Since 2 is less than 114, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{114)}0\phantom{2}\\114\overline{)2000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{114)}0\phantom{3}\\114\overline{)2000}\\\end{array}$$

Since 20 is less than 114, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{114)}00\phantom{4}\\114\overline{)2000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{114)}00\phantom{5}\\114\overline{)2000}\\\end{array}$$

Find closest multiple of 114 to 200. We see that 1 \times 114 = 114 is the nearest. Now subtract 114 from 200 to get reminder 86. Add 1 to quotient.

$$\begin{array}{l}\phantom{114)}001\phantom{6}\\114\overline{)2000}\\\phantom{114)}\underline{\phantom{}114\phantom{9}}\\\phantom{114)9}86\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{114)}001\phantom{7}\\114\overline{)2000}\\\phantom{114)}\underline{\phantom{}114\phantom{9}}\\\phantom{114)9}860\\\end{array}$$

Find closest multiple of 114 to 860. We see that 7 \times 114 = 798 is the nearest. Now subtract 798 from 860 to get reminder 62. Add 7 to quotient.

$$\begin{array}{l}\phantom{114)}0017\phantom{8}\\114\overline{)2000}\\\phantom{114)}\underline{\phantom{}114\phantom{9}}\\\phantom{114)9}860\\\phantom{114)}\underline{\phantom{9}798\phantom{}}\\\phantom{114)99}62\\\end{array}$$

Since 62 is less than 114, stop the division. The reminder is 62. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }62$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{3 \cdot 19} = 17\frac{31}{57} = 17.54385964912281$$