Solve 10000div1858

$$10000 \div 1858$$

Evaluate

$$\frac{5000}{929}\approx 5.382131324$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{1858)}\phantom{1}\\1858\overline{)10000}\\\end{array}$$

Since 1 is less than 1858, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1858)}0\phantom{2}\\1858\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{1858)}0\phantom{3}\\1858\overline{)10000}\\\end{array}$$

Since 10 is less than 1858, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1858)}00\phantom{4}\\1858\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{1858)}00\phantom{5}\\1858\overline{)10000}\\\end{array}$$

Since 100 is less than 1858, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1858)}000\phantom{6}\\1858\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{1858)}000\phantom{7}\\1858\overline{)10000}\\\end{array}$$

Since 1000 is less than 1858, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1858)}0000\phantom{8}\\1858\overline{)10000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{1858)}0000\phantom{9}\\1858\overline{)10000}\\\end{array}$$

Find closest multiple of 1858 to 10000. We see that 5 \times 1858 = 9290 is the nearest. Now subtract 9290 from 10000 to get reminder 710. Add 5 to quotient.

$$\begin{array}{l}\phantom{1858)}00005\phantom{10}\\1858\overline{)10000}\\\phantom{1858)}\underline{\phantom{9}9290\phantom{}}\\\phantom{1858)99}710\\\end{array}$$

Since 710 is less than 1858, stop the division. The reminder is 710. The topmost line 00005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }710$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{929} = 5\frac{355}{929} = 5.382131324004305$$