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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 277 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.11110 ÷ 96 =
  2. 2.259858 ÷ 997 =
  3. 3.86513 ÷ 97 =
  4. 4.606285 ÷ 989 =
  5. 5.979327 ÷ 897 =
  6. 6.82238 ÷ 96 =
  7. 7.1809 ÷ 88 =
  8. 8.1809 ÷ 98 =
  9. 9.22521 ÷ 98 =
  10. 10.540437 ÷ 997 =
  11. 11.75129 ÷ 98 =
  12. 12.101632 ÷ 988 =
  13. 13.94933 ÷ 97 =
  14. 14.45862 ÷ 97 =
  15. 15.124852 ÷ 897 =
  16. 16.9718 ÷ 8 =
  17. 17.8096 ÷ 8 =
  18. 18.54121 ÷ 96 =
  19. 19.9753 ÷ 96 =
  20. 20.83474 ÷ 89 =
  21. 21.683826 ÷ 989 =
  22. 22.4123 ÷ 8 =
  23. 23.26920 ÷ 98 =
  24. 24.840192 ÷ 998 =
  25. 25.128862 ÷ 988 =
  26. 26.7334 ÷ 8 =
  27. 27.836882 ÷ 988 =
  28. 28.61717 ÷ 96 =
  29. 29.16700 ÷ 96 =
  30. 30.300789 ÷ 989 =
  31. 31.55326 ÷ 97 =
  32. 32.963263 ÷ 988 =
  33. 33.64364 ÷ 89 =
  34. 34.58390 ÷ 96 =
  35. 35.50354 ÷ 96 =
  36. 36.536818 ÷ 988 =
  37. 37.29609 ÷ 897 =
  38. 38.65841 ÷ 96 =
  39. 39.57772 ÷ 98 =
  40. 40.30901 ÷ 97 =

Answer key

  1. 115 rem 70
  2. 260 rem 638
  3. 891 rem 86
  4. 613 rem 28
  5. 1091 rem 700
  6. 856 rem 62
  7. 20 rem 49
  8. 18 rem 45
  9. 229 rem 79
  10. 542 rem 63
  11. 766 rem 61
  12. 102 rem 856
  13. 978 rem 67
  14. 472 rem 78
  15. 139 rem 169
  16. 1214 rem 6
  17. 1012 rem 0
  18. 563 rem 73
  19. 101 rem 57
  20. 937 rem 81
  21. 691 rem 427
  22. 515 rem 3
  23. 274 rem 68
  24. 841 rem 874
  25. 130 rem 422
  26. 916 rem 6
  27. 847 rem 46
  28. 642 rem 85
  29. 173 rem 92
  30. 304 rem 133
  31. 570 rem 36
  32. 974 rem 951
  33. 723 rem 17
  34. 608 rem 22
  35. 524 rem 50
  36. 543 rem 334
  37. 33 rem 8
  38. 685 rem 81
  39. 589 rem 50
  40. 318 rem 55

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