Solve 4444/13

$$4444 / 13$$

Evaluate

$$\frac{4444}{13}\approx 341.846153846$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)4444}\\\end{array}$$

Since 4 is less than 13, use the next digit 4 from dividend 4444 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)4444}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)4444}\\\end{array}$$

Find closest multiple of 13 to 44. We see that 3 \times 13 = 39 is the nearest. Now subtract 39 from 44 to get reminder 5. Add 3 to quotient.

$$\begin{array}{l}\phantom{13)}03\phantom{4}\\13\overline{)4444}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)9}5\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{13)}03\phantom{5}\\13\overline{)4444}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)9}54\\\end{array}$$

Find closest multiple of 13 to 54. We see that 4 \times 13 = 52 is the nearest. Now subtract 52 from 54 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{13)}034\phantom{6}\\13\overline{)4444}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)9}54\\\phantom{13)}\underline{\phantom{9}52\phantom{9}}\\\phantom{13)99}2\\\end{array}$$

Use the 4^{th} digit 4 from dividend 4444

$$\begin{array}{l}\phantom{13)}034\phantom{7}\\13\overline{)4444}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)9}54\\\phantom{13)}\underline{\phantom{9}52\phantom{9}}\\\phantom{13)99}24\\\end{array}$$

Find closest multiple of 13 to 24. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 24 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}0341\phantom{8}\\13\overline{)4444}\\\phantom{13)}\underline{\phantom{}39\phantom{99}}\\\phantom{13)9}54\\\phantom{13)}\underline{\phantom{9}52\phantom{9}}\\\phantom{13)99}24\\\phantom{13)}\underline{\phantom{99}13\phantom{}}\\\phantom{13)99}11\\\end{array}$$

Since 11 is less than 13, stop the division. The reminder is 11. The topmost line 0341 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 341.

$$\text{Quotient: }341 \text{Reminder: }11$$

Factor

$$\frac{2 ^ {2} \cdot 11 \cdot 101}{13} = 341\frac{11}{13} = 341.84615384615387$$