Solve 8021/213

$$\frac { 8021 } { 213 }$$

Evaluate

$$\frac{8021}{213}\approx 37.657276995$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8021

$$\begin{array}{l}\phantom{213)}\phantom{1}\\213\overline{)8021}\\\end{array}$$

Since 8 is less than 213, use the next digit 0 from dividend 8021 and add 0 to the quotient

$$\begin{array}{l}\phantom{213)}0\phantom{2}\\213\overline{)8021}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8021

$$\begin{array}{l}\phantom{213)}0\phantom{3}\\213\overline{)8021}\\\end{array}$$

Since 80 is less than 213, use the next digit 2 from dividend 8021 and add 0 to the quotient

$$\begin{array}{l}\phantom{213)}00\phantom{4}\\213\overline{)8021}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 8021

$$\begin{array}{l}\phantom{213)}00\phantom{5}\\213\overline{)8021}\\\end{array}$$

Find closest multiple of 213 to 802. We see that 3 \times 213 = 639 is the nearest. Now subtract 639 from 802 to get reminder 163. Add 3 to quotient.

$$\begin{array}{l}\phantom{213)}003\phantom{6}\\213\overline{)8021}\\\phantom{213)}\underline{\phantom{}639\phantom{9}}\\\phantom{213)}163\\\end{array}$$

Use the 4^{th} digit 1 from dividend 8021

$$\begin{array}{l}\phantom{213)}003\phantom{7}\\213\overline{)8021}\\\phantom{213)}\underline{\phantom{}639\phantom{9}}\\\phantom{213)}1631\\\end{array}$$

Find closest multiple of 213 to 1631. We see that 7 \times 213 = 1491 is the nearest. Now subtract 1491 from 1631 to get reminder 140. Add 7 to quotient.

$$\begin{array}{l}\phantom{213)}0037\phantom{8}\\213\overline{)8021}\\\phantom{213)}\underline{\phantom{}639\phantom{9}}\\\phantom{213)}1631\\\phantom{213)}\underline{\phantom{}1491\phantom{}}\\\phantom{213)9}140\\\end{array}$$

Since 140 is less than 213, stop the division. The reminder is 140. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }140$$

Factor

$$\frac{13 \cdot 617}{3 \cdot 71} = 37\frac{140}{213} = 37.65727699530517$$