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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)645}\\\end{array}
Use the 1^{st} digit 6 from dividend 645
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)645}\\\end{array}
Since 6 is less than 15, use the next digit 4 from dividend 645 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)645}\\\end{array}
Use the 2^{nd} digit 4 from dividend 645
\begin{array}{l}\phantom{15)}04\phantom{4}\\15\overline{)645}\\\phantom{15)}\underline{\phantom{}60\phantom{9}}\\\phantom{15)9}4\\\end{array}
Find closest multiple of 15 to 64. We see that 4 \times 15 = 60 is the nearest. Now subtract 60 from 64 to get reminder 4. Add 4 to quotient.
\begin{array}{l}\phantom{15)}04\phantom{5}\\15\overline{)645}\\\phantom{15)}\underline{\phantom{}60\phantom{9}}\\\phantom{15)9}45\\\end{array}
Use the 3^{rd} digit 5 from dividend 645
\begin{array}{l}\phantom{15)}043\phantom{6}\\15\overline{)645}\\\phantom{15)}\underline{\phantom{}60\phantom{9}}\\\phantom{15)9}45\\\phantom{15)}\underline{\phantom{9}45\phantom{}}\\\phantom{15)999}0\\\end{array}
Find closest multiple of 15 to 45. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 45 to get reminder 0. Add 3 to quotient.
\text{Quotient: }43 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.