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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 264 · 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. 1.90640 ÷ 96 =
  2. 2.8861 ÷ 8 =
  3. 3.91276 ÷ 98 =
  4. 4.13426 ÷ 89 =
  5. 5.278650 ÷ 988 =
  6. 6.407146 ÷ 897 =
  7. 7.94490 ÷ 98 =
  8. 8.64134 ÷ 88 =
  9. 9.485268 ÷ 897 =
  10. 10.6163 ÷ 8 =
  11. 11.786709 ÷ 998 =
  12. 12.6327 ÷ 8 =
  13. 13.79769 ÷ 88 =
  14. 14.241622 ÷ 997 =
  15. 15.25144 ÷ 98 =
  16. 16.776615 ÷ 997 =
  17. 17.933657 ÷ 988 =
  18. 18.75998 ÷ 96 =
  19. 19.517264 ÷ 998 =
  20. 20.807046 ÷ 989 =
  21. 21.494382 ÷ 997 =
  22. 22.1251 ÷ 8 =
  23. 23.61934 ÷ 97 =
  24. 24.27757 ÷ 89 =
  25. 25.921 ÷ 8 =
  26. 26.93944 ÷ 97 =
  27. 27.49178 ÷ 98 =
  28. 28.1656 ÷ 8 =
  29. 29.46307 ÷ 997 =
  30. 30.652646 ÷ 998 =
  31. 31.80555 ÷ 88 =
  32. 32.52315 ÷ 89 =
  33. 33.40847 ÷ 97 =
  34. 34.59151 ÷ 96 =
  35. 35.417136 ÷ 989 =
  36. 36.10180 ÷ 89 =
  37. 37.1082 ÷ 8 =
  38. 38.292408 ÷ 997 =
  39. 39.76925 ÷ 98 =
  40. 40.582433 ÷ 988 =

Answer key

  1. 944 rem 16
  2. 1107 rem 5
  3. 931 rem 38
  4. 150 rem 76
  5. 282 rem 34
  6. 453 rem 805
  7. 964 rem 18
  8. 728 rem 70
  9. 540 rem 888
  10. 770 rem 3
  11. 788 rem 285
  12. 790 rem 7
  13. 906 rem 41
  14. 242 rem 348
  15. 256 rem 56
  16. 778 rem 949
  17. 944 rem 985
  18. 791 rem 62
  19. 518 rem 300
  20. 816 rem 22
  21. 495 rem 867
  22. 156 rem 3
  23. 638 rem 48
  24. 311 rem 78
  25. 115 rem 1
  26. 968 rem 48
  27. 501 rem 80
  28. 207 rem 0
  29. 46 rem 445
  30. 653 rem 952
  31. 915 rem 35
  32. 587 rem 72
  33. 421 rem 10
  34. 616 rem 15
  35. 421 rem 767
  36. 114 rem 34
  37. 135 rem 2
  38. 293 rem 287
  39. 784 rem 93
  40. 589 rem 501

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