Solve 42124/12421

$$42124 / 12421$$

Evaluate

$$\frac{42124}{12421}\approx 3.391353353$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 42124

$$\begin{array}{l}\phantom{12421)}\phantom{1}\\12421\overline{)42124}\\\end{array}$$

Since 4 is less than 12421, use the next digit 2 from dividend 42124 and add 0 to the quotient

$$\begin{array}{l}\phantom{12421)}0\phantom{2}\\12421\overline{)42124}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 42124

$$\begin{array}{l}\phantom{12421)}0\phantom{3}\\12421\overline{)42124}\\\end{array}$$

Since 42 is less than 12421, use the next digit 1 from dividend 42124 and add 0 to the quotient

$$\begin{array}{l}\phantom{12421)}00\phantom{4}\\12421\overline{)42124}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 42124

$$\begin{array}{l}\phantom{12421)}00\phantom{5}\\12421\overline{)42124}\\\end{array}$$

Since 421 is less than 12421, use the next digit 2 from dividend 42124 and add 0 to the quotient

$$\begin{array}{l}\phantom{12421)}000\phantom{6}\\12421\overline{)42124}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 42124

$$\begin{array}{l}\phantom{12421)}000\phantom{7}\\12421\overline{)42124}\\\end{array}$$

Since 4212 is less than 12421, use the next digit 4 from dividend 42124 and add 0 to the quotient

$$\begin{array}{l}\phantom{12421)}0000\phantom{8}\\12421\overline{)42124}\\\end{array}$$

Use the 5^{th} digit 4 from dividend 42124

$$\begin{array}{l}\phantom{12421)}0000\phantom{9}\\12421\overline{)42124}\\\end{array}$$

Find closest multiple of 12421 to 42124. We see that 3 \times 12421 = 37263 is the nearest. Now subtract 37263 from 42124 to get reminder 4861. Add 3 to quotient.

$$\begin{array}{l}\phantom{12421)}00003\phantom{10}\\12421\overline{)42124}\\\phantom{12421)}\underline{\phantom{}37263\phantom{}}\\\phantom{12421)9}4861\\\end{array}$$

Since 4861 is less than 12421, stop the division. The reminder is 4861. The topmost line 00003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }4861$$

Factor

$$\frac{2 ^ {2} \cdot 10531}{12421} = 3\frac{4861}{12421} = 3.3913533531921747$$