Solve 1115/78

$$\frac { 1115 } { 78 }$$

Evaluate

$$\frac{1115}{78}\approx 14.294871795$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1115

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)1115}\\\end{array}$$

Since 1 is less than 78, use the next digit 1 from dividend 1115 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)1115}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1115

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)1115}\\\end{array}$$

Since 11 is less than 78, use the next digit 1 from dividend 1115 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)1115}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1115

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)1115}\\\end{array}$$

Find closest multiple of 78 to 111. We see that 1 \times 78 = 78 is the nearest. Now subtract 78 from 111 to get reminder 33. Add 1 to quotient.

$$\begin{array}{l}\phantom{78)}001\phantom{6}\\78\overline{)1115}\\\phantom{78)}\underline{\phantom{9}78\phantom{9}}\\\phantom{78)9}33\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1115

$$\begin{array}{l}\phantom{78)}001\phantom{7}\\78\overline{)1115}\\\phantom{78)}\underline{\phantom{9}78\phantom{9}}\\\phantom{78)9}335\\\end{array}$$

Find closest multiple of 78 to 335. We see that 4 \times 78 = 312 is the nearest. Now subtract 312 from 335 to get reminder 23. Add 4 to quotient.

$$\begin{array}{l}\phantom{78)}0014\phantom{8}\\78\overline{)1115}\\\phantom{78)}\underline{\phantom{9}78\phantom{9}}\\\phantom{78)9}335\\\phantom{78)}\underline{\phantom{9}312\phantom{}}\\\phantom{78)99}23\\\end{array}$$

Since 23 is less than 78, stop the division. The reminder is 23. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }23$$

Factor

$$\frac{5 \cdot 223}{2 \cdot 3 \cdot 13} = 14\frac{23}{78} = 14.294871794871796$$