Solve 152766/3726

$$\frac{ 152766 }{ 3726 }$$

Evaluate

$$41$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 152766

$$\begin{array}{l}\phantom{3726)}\phantom{1}\\3726\overline{)152766}\\\end{array}$$

Since 1 is less than 3726, use the next digit 5 from dividend 152766 and add 0 to the quotient

$$\begin{array}{l}\phantom{3726)}0\phantom{2}\\3726\overline{)152766}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 152766

$$\begin{array}{l}\phantom{3726)}0\phantom{3}\\3726\overline{)152766}\\\end{array}$$

Since 15 is less than 3726, use the next digit 2 from dividend 152766 and add 0 to the quotient

$$\begin{array}{l}\phantom{3726)}00\phantom{4}\\3726\overline{)152766}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 152766

$$\begin{array}{l}\phantom{3726)}00\phantom{5}\\3726\overline{)152766}\\\end{array}$$

Since 152 is less than 3726, use the next digit 7 from dividend 152766 and add 0 to the quotient

$$\begin{array}{l}\phantom{3726)}000\phantom{6}\\3726\overline{)152766}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 152766

$$\begin{array}{l}\phantom{3726)}000\phantom{7}\\3726\overline{)152766}\\\end{array}$$

Since 1527 is less than 3726, use the next digit 6 from dividend 152766 and add 0 to the quotient

$$\begin{array}{l}\phantom{3726)}0000\phantom{8}\\3726\overline{)152766}\\\end{array}$$

Use the 5^{th} digit 6 from dividend 152766

$$\begin{array}{l}\phantom{3726)}0000\phantom{9}\\3726\overline{)152766}\\\end{array}$$

Find closest multiple of 3726 to 15276. We see that 4 \times 3726 = 14904 is the nearest. Now subtract 14904 from 15276 to get reminder 372. Add 4 to quotient.

$$\begin{array}{l}\phantom{3726)}00004\phantom{10}\\3726\overline{)152766}\\\phantom{3726)}\underline{\phantom{}14904\phantom{9}}\\\phantom{3726)99}372\\\end{array}$$

Use the 6^{th} digit 6 from dividend 152766

$$\begin{array}{l}\phantom{3726)}00004\phantom{11}\\3726\overline{)152766}\\\phantom{3726)}\underline{\phantom{}14904\phantom{9}}\\\phantom{3726)99}3726\\\end{array}$$

Find closest multiple of 3726 to 3726. We see that 1 \times 3726 = 3726 is the nearest. Now subtract 3726 from 3726 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{3726)}000041\phantom{12}\\3726\overline{)152766}\\\phantom{3726)}\underline{\phantom{}14904\phantom{9}}\\\phantom{3726)99}3726\\\phantom{3726)}\underline{\phantom{99}3726\phantom{}}\\\phantom{3726)999999}0\\\end{array}$$

Since 0 is less than 3726, stop the division. The reminder is 0. The topmost line 000041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41.

$$\text{Quotient: }41 \text{Reminder: }0$$

Factor

$$41$$