Solve 3456div44

$$3456 \div 44$$

Evaluate

$$\frac{864}{11}\approx 78.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3456

$$\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)3456}\\\end{array}$$

Since 3 is less than 44, use the next digit 4 from dividend 3456 and add 0 to the quotient

$$\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)3456}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3456

$$\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)3456}\\\end{array}$$

Since 34 is less than 44, use the next digit 5 from dividend 3456 and add 0 to the quotient

$$\begin{array}{l}\phantom{44)}00\phantom{4}\\44\overline{)3456}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3456

$$\begin{array}{l}\phantom{44)}00\phantom{5}\\44\overline{)3456}\\\end{array}$$

Find closest multiple of 44 to 345. We see that 7 \times 44 = 308 is the nearest. Now subtract 308 from 345 to get reminder 37. Add 7 to quotient.

$$\begin{array}{l}\phantom{44)}007\phantom{6}\\44\overline{)3456}\\\phantom{44)}\underline{\phantom{}308\phantom{9}}\\\phantom{44)9}37\\\end{array}$$

Use the 4^{th} digit 6 from dividend 3456

$$\begin{array}{l}\phantom{44)}007\phantom{7}\\44\overline{)3456}\\\phantom{44)}\underline{\phantom{}308\phantom{9}}\\\phantom{44)9}376\\\end{array}$$

Find closest multiple of 44 to 376. We see that 8 \times 44 = 352 is the nearest. Now subtract 352 from 376 to get reminder 24. Add 8 to quotient.

$$\begin{array}{l}\phantom{44)}0078\phantom{8}\\44\overline{)3456}\\\phantom{44)}\underline{\phantom{}308\phantom{9}}\\\phantom{44)9}376\\\phantom{44)}\underline{\phantom{9}352\phantom{}}\\\phantom{44)99}24\\\end{array}$$

Since 24 is less than 44, stop the division. The reminder is 24. The topmost line 0078 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 78.

$$\text{Quotient: }78 \text{Reminder: }24$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {3}}{11} = 78\frac{6}{11} = 78.54545454545455$$