Solve 16372div72

$$16372 \div 72$$

Evaluate

$$\frac{4093}{18}\approx 227.388888889$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 16372

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)16372}\\\end{array}$$

Since 1 is less than 72, use the next digit 6 from dividend 16372 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)16372}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 16372

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)16372}\\\end{array}$$

Since 16 is less than 72, use the next digit 3 from dividend 16372 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)16372}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 16372

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)16372}\\\end{array}$$

Find closest multiple of 72 to 163. We see that 2 \times 72 = 144 is the nearest. Now subtract 144 from 163 to get reminder 19. Add 2 to quotient.

$$\begin{array}{l}\phantom{72)}002\phantom{6}\\72\overline{)16372}\\\phantom{72)}\underline{\phantom{}144\phantom{99}}\\\phantom{72)9}19\\\end{array}$$

Use the 4^{th} digit 7 from dividend 16372

$$\begin{array}{l}\phantom{72)}002\phantom{7}\\72\overline{)16372}\\\phantom{72)}\underline{\phantom{}144\phantom{99}}\\\phantom{72)9}197\\\end{array}$$

Find closest multiple of 72 to 197. We see that 2 \times 72 = 144 is the nearest. Now subtract 144 from 197 to get reminder 53. Add 2 to quotient.

$$\begin{array}{l}\phantom{72)}0022\phantom{8}\\72\overline{)16372}\\\phantom{72)}\underline{\phantom{}144\phantom{99}}\\\phantom{72)9}197\\\phantom{72)}\underline{\phantom{9}144\phantom{9}}\\\phantom{72)99}53\\\end{array}$$

Use the 5^{th} digit 2 from dividend 16372

$$\begin{array}{l}\phantom{72)}0022\phantom{9}\\72\overline{)16372}\\\phantom{72)}\underline{\phantom{}144\phantom{99}}\\\phantom{72)9}197\\\phantom{72)}\underline{\phantom{9}144\phantom{9}}\\\phantom{72)99}532\\\end{array}$$

Find closest multiple of 72 to 532. We see that 7 \times 72 = 504 is the nearest. Now subtract 504 from 532 to get reminder 28. Add 7 to quotient.

$$\begin{array}{l}\phantom{72)}00227\phantom{10}\\72\overline{)16372}\\\phantom{72)}\underline{\phantom{}144\phantom{99}}\\\phantom{72)9}197\\\phantom{72)}\underline{\phantom{9}144\phantom{9}}\\\phantom{72)99}532\\\phantom{72)}\underline{\phantom{99}504\phantom{}}\\\phantom{72)999}28\\\end{array}$$

Since 28 is less than 72, stop the division. The reminder is 28. The topmost line 00227 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 227.

$$\text{Quotient: }227 \text{Reminder: }28$$

Factor

$$\frac{4093}{2 \cdot 3 ^ {2}} = 227\frac{7}{18} = 227.38888888888889$$