Solve 13589/36

$$\frac{ 13589 }{ 36 }$$

Evaluate

$$\frac{13589}{36}\approx 377.472222222$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13589

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)13589}\\\end{array}$$

Since 1 is less than 36, use the next digit 3 from dividend 13589 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)13589}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13589

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)13589}\\\end{array}$$

Since 13 is less than 36, use the next digit 5 from dividend 13589 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)13589}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 13589

$$\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)13589}\\\end{array}$$

Find closest multiple of 36 to 135. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 135 to get reminder 27. Add 3 to quotient.

$$\begin{array}{l}\phantom{36)}003\phantom{6}\\36\overline{)13589}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}27\\\end{array}$$

Use the 4^{th} digit 8 from dividend 13589

$$\begin{array}{l}\phantom{36)}003\phantom{7}\\36\overline{)13589}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}278\\\end{array}$$

Find closest multiple of 36 to 278. We see that 7 \times 36 = 252 is the nearest. Now subtract 252 from 278 to get reminder 26. Add 7 to quotient.

$$\begin{array}{l}\phantom{36)}0037\phantom{8}\\36\overline{)13589}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}278\\\phantom{36)}\underline{\phantom{9}252\phantom{9}}\\\phantom{36)99}26\\\end{array}$$

Use the 5^{th} digit 9 from dividend 13589

$$\begin{array}{l}\phantom{36)}0037\phantom{9}\\36\overline{)13589}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}278\\\phantom{36)}\underline{\phantom{9}252\phantom{9}}\\\phantom{36)99}269\\\end{array}$$

Find closest multiple of 36 to 269. We see that 7 \times 36 = 252 is the nearest. Now subtract 252 from 269 to get reminder 17. Add 7 to quotient.

$$\begin{array}{l}\phantom{36)}00377\phantom{10}\\36\overline{)13589}\\\phantom{36)}\underline{\phantom{}108\phantom{99}}\\\phantom{36)9}278\\\phantom{36)}\underline{\phantom{9}252\phantom{9}}\\\phantom{36)99}269\\\phantom{36)}\underline{\phantom{99}252\phantom{}}\\\phantom{36)999}17\\\end{array}$$

Since 17 is less than 36, stop the division. The reminder is 17. The topmost line 00377 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 377.

$$\text{Quotient: }377 \text{Reminder: }17$$

Factor

$$\frac{107 \cdot 127}{2 ^ {2} \cdot 3 ^ {2}} = 377\frac{17}{36} = 377.47222222222223$$