Solve 5481div36

$$5481 \div 36$$

Evaluate

$$\frac{609}{4}=152.25$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5481

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)5481}\\\end{array}$$

Since 5 is less than 36, use the next digit 4 from dividend 5481 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)5481}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 5481

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)5481}\\\end{array}$$

Find closest multiple of 36 to 54. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 54 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)5481}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}18\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 5481

$$\begin{array}{l}\phantom{36)}01\phantom{5}\\36\overline{)5481}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}188\\\end{array}$$

Find closest multiple of 36 to 188. We see that 5 \times 36 = 180 is the nearest. Now subtract 180 from 188 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{36)}015\phantom{6}\\36\overline{)5481}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}188\\\phantom{36)}\underline{\phantom{}180\phantom{9}}\\\phantom{36)99}8\\\end{array}$$

Use the 4^{th} digit 1 from dividend 5481

$$\begin{array}{l}\phantom{36)}015\phantom{7}\\36\overline{)5481}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}188\\\phantom{36)}\underline{\phantom{}180\phantom{9}}\\\phantom{36)99}81\\\end{array}$$

Find closest multiple of 36 to 81. We see that 2 \times 36 = 72 is the nearest. Now subtract 72 from 81 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{36)}0152\phantom{8}\\36\overline{)5481}\\\phantom{36)}\underline{\phantom{}36\phantom{99}}\\\phantom{36)}188\\\phantom{36)}\underline{\phantom{}180\phantom{9}}\\\phantom{36)99}81\\\phantom{36)}\underline{\phantom{99}72\phantom{}}\\\phantom{36)999}9\\\end{array}$$

Since 9 is less than 36, stop the division. The reminder is 9. The topmost line 0152 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 152.

$$\text{Quotient: }152 \text{Reminder: }9$$

Factor

$$\frac{3 \cdot 7 \cdot 29}{2 ^ {2}} = 152\frac{1}{4} = 152.25$$