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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 627 · 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. 1.69568 ÷ 97 =
  2. 2.70978 ÷ 97 =
  3. 3.511494 ÷ 998 =
  4. 4.7344 ÷ 8 =
  5. 5.27358 ÷ 97 =
  6. 6.36076 ÷ 98 =
  7. 7.85644 ÷ 97 =
  8. 8.9858 ÷ 97 =
  9. 9.72316 ÷ 96 =
  10. 10.63465 ÷ 88 =
  11. 11.229204 ÷ 988 =
  12. 12.4737 ÷ 88 =
  13. 13.785345 ÷ 988 =
  14. 14.52389 ÷ 97 =
  15. 15.76096 ÷ 96 =
  16. 16.76961 ÷ 998 =
  17. 17.31975 ÷ 989 =
  18. 18.87750 ÷ 98 =
  19. 19.83724 ÷ 98 =
  20. 20.606138 ÷ 997 =
  21. 21.875418 ÷ 998 =
  22. 22.462728 ÷ 998 =
  23. 23.63750 ÷ 97 =
  24. 24.551267 ÷ 998 =
  25. 25.281656 ÷ 988 =
  26. 26.2831 ÷ 89 =
  27. 27.544894 ÷ 998 =
  28. 28.5871 ÷ 96 =
  29. 29.727739 ÷ 988 =
  30. 30.2541 ÷ 8 =
  31. 31.560118 ÷ 997 =
  32. 32.44821 ÷ 89 =
  33. 33.125897 ÷ 997 =
  34. 34.632936 ÷ 998 =
  35. 35.90030 ÷ 96 =
  36. 36.107932 ÷ 897 =
  37. 37.296166 ÷ 989 =
  38. 38.4429 ÷ 8 =
  39. 39.568593 ÷ 897 =
  40. 40.70048 ÷ 89 =

Answer key

  1. 717 rem 19
  2. 731 rem 71
  3. 512 rem 518
  4. 918 rem 0
  5. 282 rem 4
  6. 368 rem 12
  7. 882 rem 90
  8. 101 rem 61
  9. 753 rem 28
  10. 721 rem 17
  11. 231 rem 976
  12. 53 rem 73
  13. 794 rem 873
  14. 540 rem 9
  15. 792 rem 64
  16. 77 rem 115
  17. 32 rem 327
  18. 895 rem 40
  19. 854 rem 32
  20. 607 rem 959
  21. 877 rem 172
  22. 463 rem 654
  23. 657 rem 21
  24. 552 rem 371
  25. 285 rem 76
  26. 31 rem 72
  27. 545 rem 984
  28. 61 rem 15
  29. 736 rem 571
  30. 317 rem 5
  31. 561 rem 801
  32. 503 rem 54
  33. 126 rem 275
  34. 634 rem 204
  35. 937 rem 78
  36. 120 rem 292
  37. 299 rem 455
  38. 553 rem 5
  39. 633 rem 792
  40. 787 rem 5

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