Solve 13579div975

$$13579 \div 975$$

Evaluate

$$\frac{13579}{975}\approx 13.927179487$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13579

$$\begin{array}{l}\phantom{975)}\phantom{1}\\975\overline{)13579}\\\end{array}$$

Since 1 is less than 975, use the next digit 3 from dividend 13579 and add 0 to the quotient

$$\begin{array}{l}\phantom{975)}0\phantom{2}\\975\overline{)13579}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13579

$$\begin{array}{l}\phantom{975)}0\phantom{3}\\975\overline{)13579}\\\end{array}$$

Since 13 is less than 975, use the next digit 5 from dividend 13579 and add 0 to the quotient

$$\begin{array}{l}\phantom{975)}00\phantom{4}\\975\overline{)13579}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 13579

$$\begin{array}{l}\phantom{975)}00\phantom{5}\\975\overline{)13579}\\\end{array}$$

Since 135 is less than 975, use the next digit 7 from dividend 13579 and add 0 to the quotient

$$\begin{array}{l}\phantom{975)}000\phantom{6}\\975\overline{)13579}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 13579

$$\begin{array}{l}\phantom{975)}000\phantom{7}\\975\overline{)13579}\\\end{array}$$

Find closest multiple of 975 to 1357. We see that 1 \times 975 = 975 is the nearest. Now subtract 975 from 1357 to get reminder 382. Add 1 to quotient.

$$\begin{array}{l}\phantom{975)}0001\phantom{8}\\975\overline{)13579}\\\phantom{975)}\underline{\phantom{9}975\phantom{9}}\\\phantom{975)9}382\\\end{array}$$

Use the 5^{th} digit 9 from dividend 13579

$$\begin{array}{l}\phantom{975)}0001\phantom{9}\\975\overline{)13579}\\\phantom{975)}\underline{\phantom{9}975\phantom{9}}\\\phantom{975)9}3829\\\end{array}$$

Find closest multiple of 975 to 3829. We see that 3 \times 975 = 2925 is the nearest. Now subtract 2925 from 3829 to get reminder 904. Add 3 to quotient.

$$\begin{array}{l}\phantom{975)}00013\phantom{10}\\975\overline{)13579}\\\phantom{975)}\underline{\phantom{9}975\phantom{9}}\\\phantom{975)9}3829\\\phantom{975)}\underline{\phantom{9}2925\phantom{}}\\\phantom{975)99}904\\\end{array}$$

Since 904 is less than 975, stop the division. The reminder is 904. The topmost line 00013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }904$$

Factor

$$\frac{37 \cdot 367}{3 \cdot 5 ^ {2} \cdot 13} = 13\frac{904}{975} = 13.927179487179487$$