Solve 1225div78

$$1225 \div 78$$

Evaluate

$$\frac{1225}{78}\approx 15.705128205$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1225

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)1225}\\\end{array}$$

Since 1 is less than 78, use the next digit 2 from dividend 1225 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)1225}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1225

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)1225}\\\end{array}$$

Since 12 is less than 78, use the next digit 2 from dividend 1225 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)1225}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1225

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)1225}\\\end{array}$$

Find closest multiple of 78 to 122. We see that 1 \times 78 = 78 is the nearest. Now subtract 78 from 122 to get reminder 44. Add 1 to quotient.

$$\begin{array}{l}\phantom{78)}001\phantom{6}\\78\overline{)1225}\\\phantom{78)}\underline{\phantom{9}78\phantom{9}}\\\phantom{78)9}44\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1225

$$\begin{array}{l}\phantom{78)}001\phantom{7}\\78\overline{)1225}\\\phantom{78)}\underline{\phantom{9}78\phantom{9}}\\\phantom{78)9}445\\\end{array}$$

Find closest multiple of 78 to 445. We see that 5 \times 78 = 390 is the nearest. Now subtract 390 from 445 to get reminder 55. Add 5 to quotient.

$$\begin{array}{l}\phantom{78)}0015\phantom{8}\\78\overline{)1225}\\\phantom{78)}\underline{\phantom{9}78\phantom{9}}\\\phantom{78)9}445\\\phantom{78)}\underline{\phantom{9}390\phantom{}}\\\phantom{78)99}55\\\end{array}$$

Since 55 is less than 78, stop the division. The reminder is 55. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }55$$

Factor

$$\frac{5 ^ {2} \cdot 7 ^ {2}}{2 \cdot 3 \cdot 13} = 15\frac{55}{78} = 15.705128205128204$$