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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 827 · 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. 1.171023 ÷ 989 =
  2. 2.28183 ÷ 96 =
  3. 3.7770 ÷ 8 =
  4. 4.65422 ÷ 98 =
  5. 5.8782 ÷ 8 =
  6. 6.643684 ÷ 988 =
  7. 7.762581 ÷ 989 =
  8. 8.77497 ÷ 98 =
  9. 9.209081 ÷ 988 =
  10. 10.41372 ÷ 89 =
  11. 11.9260 ÷ 96 =
  12. 12.19481 ÷ 96 =
  13. 13.88201 ÷ 98 =
  14. 14.3099 ÷ 88 =
  15. 15.76860 ÷ 98 =
  16. 16.823767 ÷ 998 =
  17. 17.50955 ÷ 989 =
  18. 18.355401 ÷ 997 =
  19. 19.955855 ÷ 998 =
  20. 20.238187 ÷ 989 =
  21. 21.26598 ÷ 89 =
  22. 22.50557 ÷ 98 =
  23. 23.669471 ÷ 897 =
  24. 24.379819 ÷ 997 =
  25. 25.46941 ÷ 97 =
  26. 26.39519 ÷ 998 =
  27. 27.55528 ÷ 97 =
  28. 28.71668 ÷ 89 =
  29. 29.702794 ÷ 988 =
  30. 30.83884 ÷ 97 =
  31. 31.766666 ÷ 988 =
  32. 32.229 ÷ 8 =
  33. 33.2801 ÷ 8 =
  34. 34.34282 ÷ 96 =
  35. 35.921425 ÷ 998 =
  36. 36.75432 ÷ 97 =
  37. 37.844450 ÷ 897 =
  38. 38.58687 ÷ 97 =
  39. 39.54563 ÷ 98 =
  40. 40.703877 ÷ 998 =

Answer key

  1. 172 rem 915
  2. 293 rem 55
  3. 971 rem 2
  4. 667 rem 56
  5. 1097 rem 6
  6. 651 rem 496
  7. 771 rem 62
  8. 790 rem 77
  9. 211 rem 613
  10. 464 rem 76
  11. 96 rem 44
  12. 202 rem 89
  13. 900 rem 1
  14. 35 rem 19
  15. 784 rem 28
  16. 825 rem 417
  17. 51 rem 516
  18. 356 rem 469
  19. 957 rem 769
  20. 240 rem 827
  21. 298 rem 76
  22. 515 rem 87
  23. 746 rem 309
  24. 380 rem 959
  25. 483 rem 90
  26. 39 rem 597
  27. 572 rem 44
  28. 805 rem 23
  29. 711 rem 326
  30. 864 rem 76
  31. 775 rem 966
  32. 28 rem 5
  33. 350 rem 1
  34. 357 rem 10
  35. 923 rem 271
  36. 777 rem 63
  37. 941 rem 373
  38. 605 rem 2
  39. 556 rem 75
  40. 705 rem 287

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