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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 519 · 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. 1.98131 ÷ 989 =
  2. 2.599223 ÷ 988 =
  3. 3.476234 ÷ 998 =
  4. 4.26758 ÷ 98 =
  5. 5.52170 ÷ 97 =
  6. 6.485987 ÷ 988 =
  7. 7.429007 ÷ 989 =
  8. 8.185158 ÷ 989 =
  9. 9.86900 ÷ 97 =
  10. 10.35288 ÷ 98 =
  11. 11.81317 ÷ 998 =
  12. 12.27292 ÷ 89 =
  13. 13.5801 ÷ 8 =
  14. 14.48029 ÷ 88 =
  15. 15.97377 ÷ 97 =
  16. 16.344014 ÷ 997 =
  17. 17.30153 ÷ 96 =
  18. 18.28210 ÷ 98 =
  19. 19.4796 ÷ 98 =
  20. 20.772043 ÷ 997 =
  21. 21.2182 ÷ 96 =
  22. 22.267807 ÷ 989 =
  23. 23.45372 ÷ 97 =
  24. 24.59610 ÷ 96 =
  25. 25.574005 ÷ 989 =
  26. 26.337243 ÷ 989 =
  27. 27.57300 ÷ 97 =
  28. 28.9077 ÷ 88 =
  29. 29.242704 ÷ 989 =
  30. 30.54677 ÷ 88 =
  31. 31.665264 ÷ 988 =
  32. 32.923008 ÷ 997 =
  33. 33.545678 ÷ 989 =
  34. 34.80583 ÷ 96 =
  35. 35.346 ÷ 8 =
  36. 36.69038 ÷ 97 =
  37. 37.23195 ÷ 89 =
  38. 38.339056 ÷ 998 =
  39. 39.492847 ÷ 988 =
  40. 40.47000 ÷ 997 =

Answer key

  1. 99 rem 220
  2. 606 rem 495
  3. 477 rem 188
  4. 273 rem 4
  5. 537 rem 81
  6. 491 rem 879
  7. 433 rem 770
  8. 187 rem 215
  9. 895 rem 85
  10. 360 rem 8
  11. 81 rem 479
  12. 306 rem 58
  13. 725 rem 1
  14. 545 rem 69
  15. 1003 rem 86
  16. 345 rem 49
  17. 314 rem 9
  18. 287 rem 84
  19. 48 rem 92
  20. 774 rem 365
  21. 22 rem 70
  22. 270 rem 777
  23. 467 rem 73
  24. 620 rem 90
  25. 580 rem 385
  26. 340 rem 983
  27. 590 rem 70
  28. 103 rem 13
  29. 245 rem 399
  30. 621 rem 29
  31. 673 rem 340
  32. 925 rem 783
  33. 551 rem 739
  34. 839 rem 39
  35. 43 rem 2
  36. 711 rem 71
  37. 260 rem 55
  38. 339 rem 734
  39. 498 rem 823
  40. 47 rem 141

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