Solve 291600/19230

$$\frac { 291600 } { 19230 }$$

Evaluate

$$\frac{9720}{641}\approx 15.163806552$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 291600

$$\begin{array}{l}\phantom{19230)}\phantom{1}\\19230\overline{)291600}\\\end{array}$$

Since 2 is less than 19230, use the next digit 9 from dividend 291600 and add 0 to the quotient

$$\begin{array}{l}\phantom{19230)}0\phantom{2}\\19230\overline{)291600}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 291600

$$\begin{array}{l}\phantom{19230)}0\phantom{3}\\19230\overline{)291600}\\\end{array}$$

Since 29 is less than 19230, use the next digit 1 from dividend 291600 and add 0 to the quotient

$$\begin{array}{l}\phantom{19230)}00\phantom{4}\\19230\overline{)291600}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 291600

$$\begin{array}{l}\phantom{19230)}00\phantom{5}\\19230\overline{)291600}\\\end{array}$$

Since 291 is less than 19230, use the next digit 6 from dividend 291600 and add 0 to the quotient

$$\begin{array}{l}\phantom{19230)}000\phantom{6}\\19230\overline{)291600}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 291600

$$\begin{array}{l}\phantom{19230)}000\phantom{7}\\19230\overline{)291600}\\\end{array}$$

Since 2916 is less than 19230, use the next digit 0 from dividend 291600 and add 0 to the quotient

$$\begin{array}{l}\phantom{19230)}0000\phantom{8}\\19230\overline{)291600}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 291600

$$\begin{array}{l}\phantom{19230)}0000\phantom{9}\\19230\overline{)291600}\\\end{array}$$

Find closest multiple of 19230 to 29160. We see that 1 \times 19230 = 19230 is the nearest. Now subtract 19230 from 29160 to get reminder 9930. Add 1 to quotient.

$$\begin{array}{l}\phantom{19230)}00001\phantom{10}\\19230\overline{)291600}\\\phantom{19230)}\underline{\phantom{}19230\phantom{9}}\\\phantom{19230)9}9930\\\end{array}$$

Use the 6^{th} digit 0 from dividend 291600

$$\begin{array}{l}\phantom{19230)}00001\phantom{11}\\19230\overline{)291600}\\\phantom{19230)}\underline{\phantom{}19230\phantom{9}}\\\phantom{19230)9}99300\\\end{array}$$

Find closest multiple of 19230 to 99300. We see that 5 \times 19230 = 96150 is the nearest. Now subtract 96150 from 99300 to get reminder 3150. Add 5 to quotient.

$$\begin{array}{l}\phantom{19230)}000015\phantom{12}\\19230\overline{)291600}\\\phantom{19230)}\underline{\phantom{}19230\phantom{9}}\\\phantom{19230)9}99300\\\phantom{19230)}\underline{\phantom{9}96150\phantom{}}\\\phantom{19230)99}3150\\\end{array}$$

Since 3150 is less than 19230, stop the division. The reminder is 3150. The topmost line 000015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }3150$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {5} \cdot 5}{641} = 15\frac{105}{641} = 15.163806552262091$$