Solve 54364div3775

$$54364 \div 3775$$

Evaluate

$$\frac{54364}{3775}\approx 14.401059603$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 54364

$$\begin{array}{l}\phantom{3775)}\phantom{1}\\3775\overline{)54364}\\\end{array}$$

Since 5 is less than 3775, use the next digit 4 from dividend 54364 and add 0 to the quotient

$$\begin{array}{l}\phantom{3775)}0\phantom{2}\\3775\overline{)54364}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 54364

$$\begin{array}{l}\phantom{3775)}0\phantom{3}\\3775\overline{)54364}\\\end{array}$$

Since 54 is less than 3775, use the next digit 3 from dividend 54364 and add 0 to the quotient

$$\begin{array}{l}\phantom{3775)}00\phantom{4}\\3775\overline{)54364}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 54364

$$\begin{array}{l}\phantom{3775)}00\phantom{5}\\3775\overline{)54364}\\\end{array}$$

Since 543 is less than 3775, use the next digit 6 from dividend 54364 and add 0 to the quotient

$$\begin{array}{l}\phantom{3775)}000\phantom{6}\\3775\overline{)54364}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 54364

$$\begin{array}{l}\phantom{3775)}000\phantom{7}\\3775\overline{)54364}\\\end{array}$$

Find closest multiple of 3775 to 5436. We see that 1 \times 3775 = 3775 is the nearest. Now subtract 3775 from 5436 to get reminder 1661. Add 1 to quotient.

$$\begin{array}{l}\phantom{3775)}0001\phantom{8}\\3775\overline{)54364}\\\phantom{3775)}\underline{\phantom{}3775\phantom{9}}\\\phantom{3775)}1661\\\end{array}$$

Use the 5^{th} digit 4 from dividend 54364

$$\begin{array}{l}\phantom{3775)}0001\phantom{9}\\3775\overline{)54364}\\\phantom{3775)}\underline{\phantom{}3775\phantom{9}}\\\phantom{3775)}16614\\\end{array}$$

Find closest multiple of 3775 to 16614. We see that 4 \times 3775 = 15100 is the nearest. Now subtract 15100 from 16614 to get reminder 1514. Add 4 to quotient.

$$\begin{array}{l}\phantom{3775)}00014\phantom{10}\\3775\overline{)54364}\\\phantom{3775)}\underline{\phantom{}3775\phantom{9}}\\\phantom{3775)}16614\\\phantom{3775)}\underline{\phantom{}15100\phantom{}}\\\phantom{3775)9}1514\\\end{array}$$

Since 1514 is less than 3775, stop the division. The reminder is 1514. The topmost line 00014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }1514$$

Factor

$$\frac{2 ^ {2} \cdot 13591}{5 ^ {2} \cdot 151} = 14\frac{1514}{3775} = 14.401059602649006$$