Solve 5815div13=

$$5815 \div 13 =$$

Evaluate

$$\frac{5815}{13}\approx 447.307692308$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5815

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)5815}\\\end{array}$$

Since 5 is less than 13, use the next digit 8 from dividend 5815 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)5815}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 5815

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)5815}\\\end{array}$$

Find closest multiple of 13 to 58. We see that 4 \times 13 = 52 is the nearest. Now subtract 52 from 58 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{13)}04\phantom{4}\\13\overline{)5815}\\\phantom{13)}\underline{\phantom{}52\phantom{99}}\\\phantom{13)9}6\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 5815

$$\begin{array}{l}\phantom{13)}04\phantom{5}\\13\overline{)5815}\\\phantom{13)}\underline{\phantom{}52\phantom{99}}\\\phantom{13)9}61\\\end{array}$$

Find closest multiple of 13 to 61. We see that 4 \times 13 = 52 is the nearest. Now subtract 52 from 61 to get reminder 9. Add 4 to quotient.

$$\begin{array}{l}\phantom{13)}044\phantom{6}\\13\overline{)5815}\\\phantom{13)}\underline{\phantom{}52\phantom{99}}\\\phantom{13)9}61\\\phantom{13)}\underline{\phantom{9}52\phantom{9}}\\\phantom{13)99}9\\\end{array}$$

Use the 4^{th} digit 5 from dividend 5815

$$\begin{array}{l}\phantom{13)}044\phantom{7}\\13\overline{)5815}\\\phantom{13)}\underline{\phantom{}52\phantom{99}}\\\phantom{13)9}61\\\phantom{13)}\underline{\phantom{9}52\phantom{9}}\\\phantom{13)99}95\\\end{array}$$

Find closest multiple of 13 to 95. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 95 to get reminder 4. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}0447\phantom{8}\\13\overline{)5815}\\\phantom{13)}\underline{\phantom{}52\phantom{99}}\\\phantom{13)9}61\\\phantom{13)}\underline{\phantom{9}52\phantom{9}}\\\phantom{13)99}95\\\phantom{13)}\underline{\phantom{99}91\phantom{}}\\\phantom{13)999}4\\\end{array}$$

Since 4 is less than 13, stop the division. The reminder is 4. The topmost line 0447 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 447.

$$\text{Quotient: }447 \text{Reminder: }4$$

Factor

$$\frac{5 \cdot 1163}{13} = 447\frac{4}{13} = 447.3076923076923$$