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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 573 · 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. 1.21021 ÷ 88 =
  2. 2.3306 ÷ 8 =
  3. 3.16142 ÷ 96 =
  4. 4.163823 ÷ 998 =
  5. 5.175572 ÷ 998 =
  6. 6.841809 ÷ 897 =
  7. 7.59123 ÷ 97 =
  8. 8.55804 ÷ 89 =
  9. 9.74411 ÷ 89 =
  10. 10.76924 ÷ 89 =
  11. 11.783308 ÷ 998 =
  12. 12.876732 ÷ 989 =
  13. 13.645983 ÷ 988 =
  14. 14.58428 ÷ 97 =
  15. 15.18930 ÷ 88 =
  16. 16.82845 ÷ 96 =
  17. 17.25551 ÷ 89 =
  18. 18.21350 ÷ 97 =
  19. 19.815992 ÷ 997 =
  20. 20.189439 ÷ 997 =
  21. 21.423219 ÷ 989 =
  22. 22.85986 ÷ 98 =
  23. 23.99237 ÷ 98 =
  24. 24.698312 ÷ 988 =
  25. 25.564559 ÷ 997 =
  26. 26.652024 ÷ 988 =
  27. 27.36259 ÷ 89 =
  28. 28.67696 ÷ 96 =
  29. 29.70895 ÷ 97 =
  30. 30.62700 ÷ 897 =
  31. 31.995795 ÷ 998 =
  32. 32.83008 ÷ 98 =
  33. 33.704 ÷ 8 =
  34. 34.23565 ÷ 97 =
  35. 35.609257 ÷ 989 =
  36. 36.152346 ÷ 988 =
  37. 37.38481 ÷ 96 =
  38. 38.46548 ÷ 88 =
  39. 39.16926 ÷ 98 =
  40. 40.59006 ÷ 98 =

Answer key

  1. 238 rem 77
  2. 413 rem 2
  3. 168 rem 14
  4. 164 rem 151
  5. 175 rem 922
  6. 938 rem 423
  7. 609 rem 50
  8. 627 rem 1
  9. 836 rem 7
  10. 864 rem 28
  11. 784 rem 876
  12. 886 rem 478
  13. 653 rem 819
  14. 602 rem 34
  15. 215 rem 10
  16. 862 rem 93
  17. 287 rem 8
  18. 220 rem 10
  19. 818 rem 446
  20. 190 rem 9
  21. 427 rem 916
  22. 877 rem 40
  23. 1012 rem 61
  24. 706 rem 784
  25. 566 rem 257
  26. 659 rem 932
  27. 407 rem 36
  28. 705 rem 16
  29. 730 rem 85
  30. 69 rem 807
  31. 997 rem 789
  32. 847 rem 2
  33. 88 rem 0
  34. 242 rem 91
  35. 616 rem 33
  36. 154 rem 194
  37. 400 rem 81
  38. 528 rem 84
  39. 172 rem 70
  40. 602 rem 10

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