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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 421 · 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. 1.90872 ÷ 96 =
  2. 2.678467 ÷ 988 =
  3. 3.25511 ÷ 98 =
  4. 4.560445 ÷ 897 =
  5. 5.51629 ÷ 96 =
  6. 6.2160 ÷ 8 =
  7. 7.821085 ÷ 998 =
  8. 8.708001 ÷ 998 =
  9. 9.54547 ÷ 97 =
  10. 10.50611 ÷ 96 =
  11. 11.68195 ÷ 97 =
  12. 12.453513 ÷ 988 =
  13. 13.92576 ÷ 989 =
  14. 14.224143 ÷ 988 =
  15. 15.916589 ÷ 989 =
  16. 16.56639 ÷ 989 =
  17. 17.30959 ÷ 97 =
  18. 18.688408 ÷ 998 =
  19. 19.93222 ÷ 89 =
  20. 20.5769 ÷ 96 =
  21. 21.5662 ÷ 8 =
  22. 22.854106 ÷ 897 =
  23. 23.11234 ÷ 97 =
  24. 24.912528 ÷ 998 =
  25. 25.21384 ÷ 96 =
  26. 26.39644 ÷ 89 =
  27. 27.60467 ÷ 96 =
  28. 28.2578 ÷ 8 =
  29. 29.507206 ÷ 897 =
  30. 30.27381 ÷ 897 =
  31. 31.73067 ÷ 97 =
  32. 32.29763 ÷ 89 =
  33. 33.2249 ÷ 8 =
  34. 34.1885 ÷ 96 =
  35. 35.70610 ÷ 998 =
  36. 36.59291 ÷ 97 =
  37. 37.22667 ÷ 897 =
  38. 38.79591 ÷ 96 =
  39. 39.300862 ÷ 997 =
  40. 40.71088 ÷ 98 =

Answer key

  1. 946 rem 56
  2. 686 rem 699
  3. 260 rem 31
  4. 624 rem 717
  5. 537 rem 77
  6. 270 rem 0
  7. 822 rem 729
  8. 709 rem 419
  9. 562 rem 33
  10. 527 rem 19
  11. 703 rem 4
  12. 459 rem 21
  13. 93 rem 599
  14. 226 rem 855
  15. 926 rem 775
  16. 57 rem 266
  17. 319 rem 16
  18. 689 rem 786
  19. 1047 rem 39
  20. 60 rem 9
  21. 707 rem 6
  22. 952 rem 162
  23. 115 rem 79
  24. 914 rem 356
  25. 222 rem 72
  26. 445 rem 39
  27. 629 rem 83
  28. 322 rem 2
  29. 565 rem 401
  30. 30 rem 471
  31. 753 rem 26
  32. 334 rem 37
  33. 281 rem 1
  34. 19 rem 61
  35. 70 rem 750
  36. 611 rem 24
  37. 25 rem 242
  38. 829 rem 7
  39. 301 rem 765
  40. 725 rem 38

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