Solve 40894/5835

$$\frac{ 40894 }{ 5835 }$$

Evaluate

$$\frac{40894}{5835}\approx 7.008397601$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 40894

$$\begin{array}{l}\phantom{5835)}\phantom{1}\\5835\overline{)40894}\\\end{array}$$

Since 4 is less than 5835, use the next digit 0 from dividend 40894 and add 0 to the quotient

$$\begin{array}{l}\phantom{5835)}0\phantom{2}\\5835\overline{)40894}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 40894

$$\begin{array}{l}\phantom{5835)}0\phantom{3}\\5835\overline{)40894}\\\end{array}$$

Since 40 is less than 5835, use the next digit 8 from dividend 40894 and add 0 to the quotient

$$\begin{array}{l}\phantom{5835)}00\phantom{4}\\5835\overline{)40894}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 40894

$$\begin{array}{l}\phantom{5835)}00\phantom{5}\\5835\overline{)40894}\\\end{array}$$

Since 408 is less than 5835, use the next digit 9 from dividend 40894 and add 0 to the quotient

$$\begin{array}{l}\phantom{5835)}000\phantom{6}\\5835\overline{)40894}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 40894

$$\begin{array}{l}\phantom{5835)}000\phantom{7}\\5835\overline{)40894}\\\end{array}$$

Since 4089 is less than 5835, use the next digit 4 from dividend 40894 and add 0 to the quotient

$$\begin{array}{l}\phantom{5835)}0000\phantom{8}\\5835\overline{)40894}\\\end{array}$$

Use the 5^{th} digit 4 from dividend 40894

$$\begin{array}{l}\phantom{5835)}0000\phantom{9}\\5835\overline{)40894}\\\end{array}$$

Find closest multiple of 5835 to 40894. We see that 7 \times 5835 = 40845 is the nearest. Now subtract 40845 from 40894 to get reminder 49. Add 7 to quotient.

$$\begin{array}{l}\phantom{5835)}00007\phantom{10}\\5835\overline{)40894}\\\phantom{5835)}\underline{\phantom{}40845\phantom{}}\\\phantom{5835)999}49\\\end{array}$$

Since 49 is less than 5835, stop the division. The reminder is 49. The topmost line 00007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }49$$

Factor

$$\frac{2 \cdot 7 \cdot 23 \cdot 127}{3 \cdot 5 \cdot 389} = 7\frac{49}{5835} = 7.008397600685519$$