Solve 10400div2175

$$10400 \div 2175$$

Evaluate

$$\frac{416}{87}\approx 4.781609195$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10400

$$\begin{array}{l}\phantom{2175)}\phantom{1}\\2175\overline{)10400}\\\end{array}$$

Since 1 is less than 2175, use the next digit 0 from dividend 10400 and add 0 to the quotient

$$\begin{array}{l}\phantom{2175)}0\phantom{2}\\2175\overline{)10400}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10400

$$\begin{array}{l}\phantom{2175)}0\phantom{3}\\2175\overline{)10400}\\\end{array}$$

Since 10 is less than 2175, use the next digit 4 from dividend 10400 and add 0 to the quotient

$$\begin{array}{l}\phantom{2175)}00\phantom{4}\\2175\overline{)10400}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 10400

$$\begin{array}{l}\phantom{2175)}00\phantom{5}\\2175\overline{)10400}\\\end{array}$$

Since 104 is less than 2175, use the next digit 0 from dividend 10400 and add 0 to the quotient

$$\begin{array}{l}\phantom{2175)}000\phantom{6}\\2175\overline{)10400}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10400

$$\begin{array}{l}\phantom{2175)}000\phantom{7}\\2175\overline{)10400}\\\end{array}$$

Since 1040 is less than 2175, use the next digit 0 from dividend 10400 and add 0 to the quotient

$$\begin{array}{l}\phantom{2175)}0000\phantom{8}\\2175\overline{)10400}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10400

$$\begin{array}{l}\phantom{2175)}0000\phantom{9}\\2175\overline{)10400}\\\end{array}$$

Find closest multiple of 2175 to 10400. We see that 4 \times 2175 = 8700 is the nearest. Now subtract 8700 from 10400 to get reminder 1700. Add 4 to quotient.

$$\begin{array}{l}\phantom{2175)}00004\phantom{10}\\2175\overline{)10400}\\\phantom{2175)}\underline{\phantom{9}8700\phantom{}}\\\phantom{2175)9}1700\\\end{array}$$

Since 1700 is less than 2175, stop the division. The reminder is 1700. The topmost line 00004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }1700$$

Factor

$$\frac{2 ^ {5} \cdot 13}{3 \cdot 29} = 4\frac{68}{87} = 4.781609195402299$$