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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 355 · 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. 1.99245 ÷ 989 =
  2. 2.5158 ÷ 8 =
  3. 3.133359 ÷ 988 =
  4. 4.20496 ÷ 96 =
  5. 5.68975 ÷ 997 =
  6. 6.5192 ÷ 8 =
  7. 7.65630 ÷ 88 =
  8. 8.80350 ÷ 897 =
  9. 9.449436 ÷ 988 =
  10. 10.73700 ÷ 97 =
  11. 11.4718 ÷ 8 =
  12. 12.75787 ÷ 98 =
  13. 13.829446 ÷ 998 =
  14. 14.60583 ÷ 98 =
  15. 15.57548 ÷ 89 =
  16. 16.878544 ÷ 997 =
  17. 17.71339 ÷ 88 =
  18. 18.51252 ÷ 97 =
  19. 19.9189 ÷ 8 =
  20. 20.45693 ÷ 97 =
  21. 21.6794 ÷ 98 =
  22. 22.294929 ÷ 988 =
  23. 23.871606 ÷ 989 =
  24. 24.45659 ÷ 96 =
  25. 25.507 ÷ 8 =
  26. 26.53711 ÷ 988 =
  27. 27.38966 ÷ 96 =
  28. 28.559203 ÷ 988 =
  29. 29.29649 ÷ 96 =
  30. 30.482886 ÷ 988 =
  31. 31.650917 ÷ 897 =
  32. 32.736112 ÷ 988 =
  33. 33.96830 ÷ 98 =
  34. 34.2956 ÷ 88 =
  35. 35.281280 ÷ 997 =
  36. 36.725 ÷ 8 =
  37. 37.889078 ÷ 998 =
  38. 38.490944 ÷ 897 =
  39. 39.27939 ÷ 96 =
  40. 40.72675 ÷ 97 =

Answer key

  1. 100 rem 345
  2. 644 rem 6
  3. 134 rem 967
  4. 213 rem 48
  5. 69 rem 182
  6. 649 rem 0
  7. 745 rem 70
  8. 89 rem 517
  9. 454 rem 884
  10. 759 rem 77
  11. 589 rem 6
  12. 773 rem 33
  13. 831 rem 108
  14. 618 rem 19
  15. 646 rem 54
  16. 881 rem 187
  17. 810 rem 59
  18. 528 rem 36
  19. 1148 rem 5
  20. 471 rem 6
  21. 69 rem 32
  22. 298 rem 505
  23. 881 rem 297
  24. 475 rem 59
  25. 63 rem 3
  26. 54 rem 359
  27. 405 rem 86
  28. 565 rem 983
  29. 308 rem 81
  30. 488 rem 742
  31. 725 rem 592
  32. 745 rem 52
  33. 988 rem 6
  34. 33 rem 52
  35. 282 rem 126
  36. 90 rem 5
  37. 890 rem 858
  38. 547 rem 285
  39. 291 rem 3
  40. 749 rem 22

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