Solve 3257div74

$$3257 \div 74$$

Evaluate

$$\frac{3257}{74}\approx 44.013513514$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3257

$$\begin{array}{l}\phantom{74)}\phantom{1}\\74\overline{)3257}\\\end{array}$$

Since 3 is less than 74, use the next digit 2 from dividend 3257 and add 0 to the quotient

$$\begin{array}{l}\phantom{74)}0\phantom{2}\\74\overline{)3257}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 3257

$$\begin{array}{l}\phantom{74)}0\phantom{3}\\74\overline{)3257}\\\end{array}$$

Since 32 is less than 74, use the next digit 5 from dividend 3257 and add 0 to the quotient

$$\begin{array}{l}\phantom{74)}00\phantom{4}\\74\overline{)3257}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3257

$$\begin{array}{l}\phantom{74)}00\phantom{5}\\74\overline{)3257}\\\end{array}$$

Find closest multiple of 74 to 325. We see that 4 \times 74 = 296 is the nearest. Now subtract 296 from 325 to get reminder 29. Add 4 to quotient.

$$\begin{array}{l}\phantom{74)}004\phantom{6}\\74\overline{)3257}\\\phantom{74)}\underline{\phantom{}296\phantom{9}}\\\phantom{74)9}29\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3257

$$\begin{array}{l}\phantom{74)}004\phantom{7}\\74\overline{)3257}\\\phantom{74)}\underline{\phantom{}296\phantom{9}}\\\phantom{74)9}297\\\end{array}$$

Find closest multiple of 74 to 297. We see that 4 \times 74 = 296 is the nearest. Now subtract 296 from 297 to get reminder 1. Add 4 to quotient.

$$\begin{array}{l}\phantom{74)}0044\phantom{8}\\74\overline{)3257}\\\phantom{74)}\underline{\phantom{}296\phantom{9}}\\\phantom{74)9}297\\\phantom{74)}\underline{\phantom{9}296\phantom{}}\\\phantom{74)999}1\\\end{array}$$

Since 1 is less than 74, stop the division. The reminder is 1. The topmost line 0044 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 44.

$$\text{Quotient: }44 \text{Reminder: }1$$

Factor

$$\frac{3257}{2 \cdot 37} = 44\frac{1}{74} = 44.013513513513516$$