Solve 2106div460

$$2106 \div 460$$

Evaluate

$$\frac{1053}{230}\approx 4.57826087$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2106

$$\begin{array}{l}\phantom{460)}\phantom{1}\\460\overline{)2106}\\\end{array}$$

Since 2 is less than 460, use the next digit 1 from dividend 2106 and add 0 to the quotient

$$\begin{array}{l}\phantom{460)}0\phantom{2}\\460\overline{)2106}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2106

$$\begin{array}{l}\phantom{460)}0\phantom{3}\\460\overline{)2106}\\\end{array}$$

Since 21 is less than 460, use the next digit 0 from dividend 2106 and add 0 to the quotient

$$\begin{array}{l}\phantom{460)}00\phantom{4}\\460\overline{)2106}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2106

$$\begin{array}{l}\phantom{460)}00\phantom{5}\\460\overline{)2106}\\\end{array}$$

Since 210 is less than 460, use the next digit 6 from dividend 2106 and add 0 to the quotient

$$\begin{array}{l}\phantom{460)}000\phantom{6}\\460\overline{)2106}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2106

$$\begin{array}{l}\phantom{460)}000\phantom{7}\\460\overline{)2106}\\\end{array}$$

Find closest multiple of 460 to 2106. We see that 4 \times 460 = 1840 is the nearest. Now subtract 1840 from 2106 to get reminder 266. Add 4 to quotient.

$$\begin{array}{l}\phantom{460)}0004\phantom{8}\\460\overline{)2106}\\\phantom{460)}\underline{\phantom{}1840\phantom{}}\\\phantom{460)9}266\\\end{array}$$

Since 266 is less than 460, stop the division. The reminder is 266. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }266$$

Factor

$$\frac{3 ^ {4} \cdot 13}{2 \cdot 5 \cdot 23} = 4\frac{133}{230} = 4.578260869565217$$