Solve 7212/227

$$\frac { 7212 } { 227 }$$

Evaluate

$$\frac{7212}{227}\approx 31.77092511$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7212

$$\begin{array}{l}\phantom{227)}\phantom{1}\\227\overline{)7212}\\\end{array}$$

Since 7 is less than 227, use the next digit 2 from dividend 7212 and add 0 to the quotient

$$\begin{array}{l}\phantom{227)}0\phantom{2}\\227\overline{)7212}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 7212

$$\begin{array}{l}\phantom{227)}0\phantom{3}\\227\overline{)7212}\\\end{array}$$

Since 72 is less than 227, use the next digit 1 from dividend 7212 and add 0 to the quotient

$$\begin{array}{l}\phantom{227)}00\phantom{4}\\227\overline{)7212}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 7212

$$\begin{array}{l}\phantom{227)}00\phantom{5}\\227\overline{)7212}\\\end{array}$$

Find closest multiple of 227 to 721. We see that 3 \times 227 = 681 is the nearest. Now subtract 681 from 721 to get reminder 40. Add 3 to quotient.

$$\begin{array}{l}\phantom{227)}003\phantom{6}\\227\overline{)7212}\\\phantom{227)}\underline{\phantom{}681\phantom{9}}\\\phantom{227)9}40\\\end{array}$$

Use the 4^{th} digit 2 from dividend 7212

$$\begin{array}{l}\phantom{227)}003\phantom{7}\\227\overline{)7212}\\\phantom{227)}\underline{\phantom{}681\phantom{9}}\\\phantom{227)9}402\\\end{array}$$

Find closest multiple of 227 to 402. We see that 1 \times 227 = 227 is the nearest. Now subtract 227 from 402 to get reminder 175. Add 1 to quotient.

$$\begin{array}{l}\phantom{227)}0031\phantom{8}\\227\overline{)7212}\\\phantom{227)}\underline{\phantom{}681\phantom{9}}\\\phantom{227)9}402\\\phantom{227)}\underline{\phantom{9}227\phantom{}}\\\phantom{227)9}175\\\end{array}$$

Since 175 is less than 227, stop the division. The reminder is 175. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }175$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 601}{227} = 31\frac{175}{227} = 31.770925110132158$$