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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 232 · 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. 1.88682 ÷ 96 =
  2. 2.634572 ÷ 989 =
  3. 3.7831 ÷ 8 =
  4. 4.79099 ÷ 89 =
  5. 5.597353 ÷ 997 =
  6. 6.154456 ÷ 997 =
  7. 7.40134 ÷ 96 =
  8. 8.96391 ÷ 88 =
  9. 9.279619 ÷ 997 =
  10. 10.52952 ÷ 89 =
  11. 11.2314 ÷ 8 =
  12. 12.665 ÷ 8 =
  13. 13.253849 ÷ 998 =
  14. 14.510 ÷ 8 =
  15. 15.38037 ÷ 97 =
  16. 16.97064 ÷ 96 =
  17. 17.6946 ÷ 89 =
  18. 18.582791 ÷ 997 =
  19. 19.48152 ÷ 89 =
  20. 20.72589 ÷ 89 =
  21. 21.189198 ÷ 897 =
  22. 22.6714 ÷ 8 =
  23. 23.7671 ÷ 97 =
  24. 24.746598 ÷ 988 =
  25. 25.52968 ÷ 97 =
  26. 26.10279 ÷ 98 =
  27. 27.20737 ÷ 989 =
  28. 28.98739 ÷ 88 =
  29. 29.6841 ÷ 89 =
  30. 30.49749 ÷ 98 =
  31. 31.702558 ÷ 998 =
  32. 32.9561 ÷ 8 =
  33. 33.967739 ÷ 897 =
  34. 34.565610 ÷ 998 =
  35. 35.712844 ÷ 988 =
  36. 36.51451 ÷ 96 =
  37. 37.45719 ÷ 88 =
  38. 38.977966 ÷ 997 =
  39. 39.45426 ÷ 88 =
  40. 40.210134 ÷ 989 =

Answer key

  1. 923 rem 74
  2. 641 rem 623
  3. 978 rem 7
  4. 888 rem 67
  5. 599 rem 150
  6. 154 rem 918
  7. 418 rem 6
  8. 1095 rem 31
  9. 280 rem 459
  10. 594 rem 86
  11. 289 rem 2
  12. 83 rem 1
  13. 254 rem 357
  14. 63 rem 6
  15. 392 rem 13
  16. 1011 rem 8
  17. 78 rem 4
  18. 584 rem 543
  19. 541 rem 3
  20. 815 rem 54
  21. 210 rem 828
  22. 839 rem 2
  23. 79 rem 8
  24. 755 rem 658
  25. 546 rem 6
  26. 104 rem 87
  27. 20 rem 957
  28. 1122 rem 3
  29. 76 rem 77
  30. 507 rem 63
  31. 703 rem 964
  32. 1195 rem 1
  33. 1078 rem 773
  34. 566 rem 742
  35. 721 rem 496
  36. 535 rem 91
  37. 519 rem 47
  38. 980 rem 906
  39. 516 rem 18
  40. 212 rem 466

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