Solve 36287/63

$$36287 / 63$$

Evaluate

$$\frac{36287}{63}\approx 575.984126984$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 36287

$$\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)36287}\\\end{array}$$

Since 3 is less than 63, use the next digit 6 from dividend 36287 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)36287}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 36287

$$\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)36287}\\\end{array}$$

Since 36 is less than 63, use the next digit 2 from dividend 36287 and add 0 to the quotient

$$\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)36287}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 36287

$$\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)36287}\\\end{array}$$

Find closest multiple of 63 to 362. We see that 5 \times 63 = 315 is the nearest. Now subtract 315 from 362 to get reminder 47. Add 5 to quotient.

$$\begin{array}{l}\phantom{63)}005\phantom{6}\\63\overline{)36287}\\\phantom{63)}\underline{\phantom{}315\phantom{99}}\\\phantom{63)9}47\\\end{array}$$

Use the 4^{th} digit 8 from dividend 36287

$$\begin{array}{l}\phantom{63)}005\phantom{7}\\63\overline{)36287}\\\phantom{63)}\underline{\phantom{}315\phantom{99}}\\\phantom{63)9}478\\\end{array}$$

Find closest multiple of 63 to 478. We see that 7 \times 63 = 441 is the nearest. Now subtract 441 from 478 to get reminder 37. Add 7 to quotient.

$$\begin{array}{l}\phantom{63)}0057\phantom{8}\\63\overline{)36287}\\\phantom{63)}\underline{\phantom{}315\phantom{99}}\\\phantom{63)9}478\\\phantom{63)}\underline{\phantom{9}441\phantom{9}}\\\phantom{63)99}37\\\end{array}$$

Use the 5^{th} digit 7 from dividend 36287

$$\begin{array}{l}\phantom{63)}0057\phantom{9}\\63\overline{)36287}\\\phantom{63)}\underline{\phantom{}315\phantom{99}}\\\phantom{63)9}478\\\phantom{63)}\underline{\phantom{9}441\phantom{9}}\\\phantom{63)99}377\\\end{array}$$

Find closest multiple of 63 to 377. We see that 5 \times 63 = 315 is the nearest. Now subtract 315 from 377 to get reminder 62. Add 5 to quotient.

$$\begin{array}{l}\phantom{63)}00575\phantom{10}\\63\overline{)36287}\\\phantom{63)}\underline{\phantom{}315\phantom{99}}\\\phantom{63)9}478\\\phantom{63)}\underline{\phantom{9}441\phantom{9}}\\\phantom{63)99}377\\\phantom{63)}\underline{\phantom{99}315\phantom{}}\\\phantom{63)999}62\\\end{array}$$

Since 62 is less than 63, stop the division. The reminder is 62. The topmost line 00575 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 575.

$$\text{Quotient: }575 \text{Reminder: }62$$

Factor

$$\frac{131 \cdot 277}{3 ^ {2} \cdot 7} = 575\frac{62}{63} = 575.984126984127$$