Solve 45000div8478

$$45000 \div 8478$$

Evaluate

$$\frac{2500}{471}\approx 5.307855626$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 45000

$$\begin{array}{l}\phantom{8478)}\phantom{1}\\8478\overline{)45000}\\\end{array}$$

Since 4 is less than 8478, use the next digit 5 from dividend 45000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8478)}0\phantom{2}\\8478\overline{)45000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 45000

$$\begin{array}{l}\phantom{8478)}0\phantom{3}\\8478\overline{)45000}\\\end{array}$$

Since 45 is less than 8478, use the next digit 0 from dividend 45000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8478)}00\phantom{4}\\8478\overline{)45000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 45000

$$\begin{array}{l}\phantom{8478)}00\phantom{5}\\8478\overline{)45000}\\\end{array}$$

Since 450 is less than 8478, use the next digit 0 from dividend 45000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8478)}000\phantom{6}\\8478\overline{)45000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 45000

$$\begin{array}{l}\phantom{8478)}000\phantom{7}\\8478\overline{)45000}\\\end{array}$$

Since 4500 is less than 8478, use the next digit 0 from dividend 45000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8478)}0000\phantom{8}\\8478\overline{)45000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 45000

$$\begin{array}{l}\phantom{8478)}0000\phantom{9}\\8478\overline{)45000}\\\end{array}$$

Find closest multiple of 8478 to 45000. We see that 5 \times 8478 = 42390 is the nearest. Now subtract 42390 from 45000 to get reminder 2610. Add 5 to quotient.

$$\begin{array}{l}\phantom{8478)}00005\phantom{10}\\8478\overline{)45000}\\\phantom{8478)}\underline{\phantom{}42390\phantom{}}\\\phantom{8478)9}2610\\\end{array}$$

Since 2610 is less than 8478, stop the division. The reminder is 2610. The topmost line 00005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }2610$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4}}{3 \cdot 157} = 5\frac{145}{471} = 5.307855626326964$$