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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 80 · 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. 1.564867 ÷ 997 =
  2. 2.180426 ÷ 989 =
  3. 3.6783 ÷ 8 =
  4. 4.5472 ÷ 8 =
  5. 5.123283 ÷ 997 =
  6. 6.84625 ÷ 88 =
  7. 7.540786 ÷ 988 =
  8. 8.107503 ÷ 998 =
  9. 9.240820 ÷ 997 =
  10. 10.357951 ÷ 988 =
  11. 11.17370 ÷ 89 =
  12. 12.98576 ÷ 88 =
  13. 13.80357 ÷ 96 =
  14. 14.3707 ÷ 97 =
  15. 15.27677 ÷ 98 =
  16. 16.80191 ÷ 97 =
  17. 17.47466 ÷ 98 =
  18. 18.57342 ÷ 96 =
  19. 19.834776 ÷ 997 =
  20. 20.356735 ÷ 998 =
  21. 21.2116 ÷ 97 =
  22. 22.401478 ÷ 998 =
  23. 23.9159 ÷ 89 =
  24. 24.9534 ÷ 96 =
  25. 25.14077 ÷ 88 =
  26. 26.16845 ÷ 89 =
  27. 27.41721 ÷ 97 =
  28. 28.15058 ÷ 98 =
  29. 29.37665 ÷ 989 =
  30. 30.76418 ÷ 98 =
  31. 31.30631 ÷ 96 =
  32. 32.8607 ÷ 8 =
  33. 33.60044 ÷ 96 =
  34. 34.83501 ÷ 998 =
  35. 35.35390 ÷ 97 =
  36. 36.855636 ÷ 998 =
  37. 37.941642 ÷ 998 =
  38. 38.637196 ÷ 997 =
  39. 39.238244 ÷ 997 =
  40. 40.475026 ÷ 989 =

Answer key

  1. 566 rem 565
  2. 182 rem 428
  3. 847 rem 7
  4. 684 rem 0
  5. 123 rem 652
  6. 961 rem 57
  7. 547 rem 350
  8. 107 rem 717
  9. 241 rem 543
  10. 362 rem 295
  11. 195 rem 15
  12. 1120 rem 16
  13. 837 rem 5
  14. 38 rem 21
  15. 282 rem 41
  16. 826 rem 69
  17. 484 rem 34
  18. 597 rem 30
  19. 837 rem 287
  20. 357 rem 449
  21. 21 rem 79
  22. 402 rem 282
  23. 102 rem 81
  24. 99 rem 30
  25. 159 rem 85
  26. 189 rem 24
  27. 430 rem 11
  28. 153 rem 64
  29. 38 rem 83
  30. 779 rem 76
  31. 319 rem 7
  32. 1075 rem 7
  33. 625 rem 44
  34. 83 rem 667
  35. 364 rem 82
  36. 857 rem 350
  37. 943 rem 528
  38. 639 rem 113
  39. 238 rem 958
  40. 480 rem 306

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