Solve 456div78

$$456 \div 78$$

Evaluate

$$\frac{76}{13}\approx 5.846153846$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 456

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)456}\\\end{array}$$

Since 4 is less than 78, use the next digit 5 from dividend 456 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)456}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 456

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)456}\\\end{array}$$

Since 45 is less than 78, use the next digit 6 from dividend 456 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)456}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 456

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)456}\\\end{array}$$

Find closest multiple of 78 to 456. We see that 5 \times 78 = 390 is the nearest. Now subtract 390 from 456 to get reminder 66. Add 5 to quotient.

$$\begin{array}{l}\phantom{78)}005\phantom{6}\\78\overline{)456}\\\phantom{78)}\underline{\phantom{}390\phantom{}}\\\phantom{78)9}66\\\end{array}$$

Since 66 is less than 78, stop the division. The reminder is 66. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }66$$

Factor

$$\frac{2 ^ {2} \cdot 19}{13} = 5\frac{11}{13} = 5.846153846153846$$