Solve 2084/39

$$\frac { 2084 } { 39 }$$

Evaluate

$$\frac{2084}{39}\approx 53.435897436$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2084

$$\begin{array}{l}\phantom{39)}\phantom{1}\\39\overline{)2084}\\\end{array}$$

Since 2 is less than 39, use the next digit 0 from dividend 2084 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}0\phantom{2}\\39\overline{)2084}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2084

$$\begin{array}{l}\phantom{39)}0\phantom{3}\\39\overline{)2084}\\\end{array}$$

Since 20 is less than 39, use the next digit 8 from dividend 2084 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}00\phantom{4}\\39\overline{)2084}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2084

$$\begin{array}{l}\phantom{39)}00\phantom{5}\\39\overline{)2084}\\\end{array}$$

Find closest multiple of 39 to 208. We see that 5 \times 39 = 195 is the nearest. Now subtract 195 from 208 to get reminder 13. Add 5 to quotient.

$$\begin{array}{l}\phantom{39)}005\phantom{6}\\39\overline{)2084}\\\phantom{39)}\underline{\phantom{}195\phantom{9}}\\\phantom{39)9}13\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2084

$$\begin{array}{l}\phantom{39)}005\phantom{7}\\39\overline{)2084}\\\phantom{39)}\underline{\phantom{}195\phantom{9}}\\\phantom{39)9}134\\\end{array}$$

Find closest multiple of 39 to 134. We see that 3 \times 39 = 117 is the nearest. Now subtract 117 from 134 to get reminder 17. Add 3 to quotient.

$$\begin{array}{l}\phantom{39)}0053\phantom{8}\\39\overline{)2084}\\\phantom{39)}\underline{\phantom{}195\phantom{9}}\\\phantom{39)9}134\\\phantom{39)}\underline{\phantom{9}117\phantom{}}\\\phantom{39)99}17\\\end{array}$$

Since 17 is less than 39, stop the division. The reminder is 17. The topmost line 0053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.

$$\text{Quotient: }53 \text{Reminder: }17$$

Factor

$$\frac{2 ^ {2} \cdot 521}{3 \cdot 13} = 53\frac{17}{39} = 53.43589743589744$$