Solve 13254div56

$$13254 \div 56$$

Evaluate

$$\frac{6627}{28}\approx 236.678571429$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13254

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)13254}\\\end{array}$$

Since 1 is less than 56, use the next digit 3 from dividend 13254 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)13254}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13254

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)13254}\\\end{array}$$

Since 13 is less than 56, use the next digit 2 from dividend 13254 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)13254}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 13254

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)13254}\\\end{array}$$

Find closest multiple of 56 to 132. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 132 to get reminder 20. Add 2 to quotient.

$$\begin{array}{l}\phantom{56)}002\phantom{6}\\56\overline{)13254}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}20\\\end{array}$$

Use the 4^{th} digit 5 from dividend 13254

$$\begin{array}{l}\phantom{56)}002\phantom{7}\\56\overline{)13254}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}205\\\end{array}$$

Find closest multiple of 56 to 205. We see that 3 \times 56 = 168 is the nearest. Now subtract 168 from 205 to get reminder 37. Add 3 to quotient.

$$\begin{array}{l}\phantom{56)}0023\phantom{8}\\56\overline{)13254}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}205\\\phantom{56)}\underline{\phantom{9}168\phantom{9}}\\\phantom{56)99}37\\\end{array}$$

Use the 5^{th} digit 4 from dividend 13254

$$\begin{array}{l}\phantom{56)}0023\phantom{9}\\56\overline{)13254}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}205\\\phantom{56)}\underline{\phantom{9}168\phantom{9}}\\\phantom{56)99}374\\\end{array}$$

Find closest multiple of 56 to 374. We see that 6 \times 56 = 336 is the nearest. Now subtract 336 from 374 to get reminder 38. Add 6 to quotient.

$$\begin{array}{l}\phantom{56)}00236\phantom{10}\\56\overline{)13254}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}205\\\phantom{56)}\underline{\phantom{9}168\phantom{9}}\\\phantom{56)99}374\\\phantom{56)}\underline{\phantom{99}336\phantom{}}\\\phantom{56)999}38\\\end{array}$$

Since 38 is less than 56, stop the division. The reminder is 38. The topmost line 00236 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 236.

$$\text{Quotient: }236 \text{Reminder: }38$$

Factor

$$\frac{3 \cdot 47 ^ {2}}{2 ^ {2} \cdot 7} = 236\frac{19}{28} = 236.67857142857142$$