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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 769 · 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. 1.44012 ÷ 97 =
  2. 2.614483 ÷ 998 =
  3. 3.25430 ÷ 88 =
  4. 4.475779 ÷ 997 =
  5. 5.551090 ÷ 897 =
  6. 6.34848 ÷ 98 =
  7. 7.315362 ÷ 998 =
  8. 8.21447 ÷ 88 =
  9. 9.71836 ÷ 89 =
  10. 10.43767 ÷ 998 =
  11. 11.67084 ÷ 98 =
  12. 12.65943 ÷ 97 =
  13. 13.51985 ÷ 97 =
  14. 14.12263 ÷ 98 =
  15. 15.961343 ÷ 988 =
  16. 16.124680 ÷ 989 =
  17. 17.340807 ÷ 897 =
  18. 18.618106 ÷ 989 =
  19. 19.780059 ÷ 989 =
  20. 20.78974 ÷ 96 =
  21. 21.29966 ÷ 89 =
  22. 22.9566 ÷ 8 =
  23. 23.180 ÷ 8 =
  24. 24.77560 ÷ 89 =
  25. 25.745043 ÷ 998 =
  26. 26.651350 ÷ 989 =
  27. 27.75750 ÷ 88 =
  28. 28.30152 ÷ 97 =
  29. 29.436803 ÷ 998 =
  30. 30.86408 ÷ 88 =
  31. 31.32972 ÷ 96 =
  32. 32.96544 ÷ 96 =
  33. 33.22884 ÷ 98 =
  34. 34.177858 ÷ 989 =
  35. 35.887641 ÷ 989 =
  36. 36.297504 ÷ 998 =
  37. 37.27666 ÷ 96 =
  38. 38.597777 ÷ 998 =
  39. 39.396784 ÷ 997 =
  40. 40.98369 ÷ 88 =

Answer key

  1. 453 rem 71
  2. 615 rem 713
  3. 288 rem 86
  4. 477 rem 210
  5. 614 rem 332
  6. 355 rem 58
  7. 315 rem 992
  8. 243 rem 63
  9. 807 rem 13
  10. 43 rem 853
  11. 684 rem 52
  12. 679 rem 80
  13. 535 rem 90
  14. 125 rem 13
  15. 973 rem 19
  16. 126 rem 66
  17. 379 rem 844
  18. 624 rem 970
  19. 788 rem 727
  20. 822 rem 62
  21. 336 rem 62
  22. 1195 rem 6
  23. 22 rem 4
  24. 871 rem 41
  25. 746 rem 535
  26. 658 rem 588
  27. 860 rem 70
  28. 310 rem 82
  29. 437 rem 677
  30. 981 rem 80
  31. 343 rem 44
  32. 1005 rem 64
  33. 233 rem 50
  34. 179 rem 827
  35. 897 rem 508
  36. 298 rem 100
  37. 288 rem 18
  38. 598 rem 973
  39. 397 rem 975
  40. 1117 rem 73

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