Solve 756/39

$$\frac { 756 } { 39 }$$

Evaluate

$$\frac{252}{13}\approx 19.384615385$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 756

$$\begin{array}{l}\phantom{39)}\phantom{1}\\39\overline{)756}\\\end{array}$$

Since 7 is less than 39, use the next digit 5 from dividend 756 and add 0 to the quotient

$$\begin{array}{l}\phantom{39)}0\phantom{2}\\39\overline{)756}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 756

$$\begin{array}{l}\phantom{39)}0\phantom{3}\\39\overline{)756}\\\end{array}$$

Find closest multiple of 39 to 75. We see that 1 \times 39 = 39 is the nearest. Now subtract 39 from 75 to get reminder 36. Add 1 to quotient.

$$\begin{array}{l}\phantom{39)}01\phantom{4}\\39\overline{)756}\\\phantom{39)}\underline{\phantom{}39\phantom{9}}\\\phantom{39)}36\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 756

$$\begin{array}{l}\phantom{39)}01\phantom{5}\\39\overline{)756}\\\phantom{39)}\underline{\phantom{}39\phantom{9}}\\\phantom{39)}366\\\end{array}$$

Find closest multiple of 39 to 366. We see that 9 \times 39 = 351 is the nearest. Now subtract 351 from 366 to get reminder 15. Add 9 to quotient.

$$\begin{array}{l}\phantom{39)}019\phantom{6}\\39\overline{)756}\\\phantom{39)}\underline{\phantom{}39\phantom{9}}\\\phantom{39)}366\\\phantom{39)}\underline{\phantom{}351\phantom{}}\\\phantom{39)9}15\\\end{array}$$

Since 15 is less than 39, stop the division. The reminder is 15. The topmost line 019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }15$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 7}{13} = 19\frac{5}{13} = 19.384615384615383$$