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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 201 · 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. 1.4088 ÷ 8 =
  2. 2.151889 ÷ 897 =
  3. 3.5671 ÷ 97 =
  4. 4.88923 ÷ 98 =
  5. 5.114533 ÷ 897 =
  6. 6.879319 ÷ 989 =
  7. 7.1615 ÷ 8 =
  8. 8.146686 ÷ 988 =
  9. 9.48466 ÷ 988 =
  10. 10.15895 ÷ 98 =
  11. 11.87654 ÷ 98 =
  12. 12.189794 ÷ 989 =
  13. 13.9295 ÷ 8 =
  14. 14.85885 ÷ 96 =
  15. 15.804659 ÷ 997 =
  16. 16.104498 ÷ 989 =
  17. 17.92191 ÷ 97 =
  18. 18.449238 ÷ 998 =
  19. 19.71109 ÷ 96 =
  20. 20.980777 ÷ 897 =
  21. 21.373584 ÷ 998 =
  22. 22.35568 ÷ 98 =
  23. 23.6476 ÷ 8 =
  24. 24.4999 ÷ 8 =
  25. 25.73476 ÷ 97 =
  26. 26.41663 ÷ 98 =
  27. 27.60164 ÷ 997 =
  28. 28.74546 ÷ 98 =
  29. 29.18111 ÷ 88 =
  30. 30.424857 ÷ 997 =
  31. 31.46635 ÷ 96 =
  32. 32.1857 ÷ 98 =
  33. 33.49019 ÷ 89 =
  34. 34.20135 ÷ 989 =
  35. 35.53550 ÷ 96 =
  36. 36.391019 ÷ 989 =
  37. 37.64909 ÷ 88 =
  38. 38.356131 ÷ 989 =
  39. 39.382372 ÷ 998 =
  40. 40.25540 ÷ 88 =

Answer key

  1. 511 rem 0
  2. 169 rem 296
  3. 58 rem 45
  4. 907 rem 37
  5. 127 rem 614
  6. 889 rem 98
  7. 201 rem 7
  8. 148 rem 462
  9. 49 rem 54
  10. 162 rem 19
  11. 894 rem 42
  12. 191 rem 895
  13. 1161 rem 7
  14. 894 rem 61
  15. 807 rem 80
  16. 105 rem 653
  17. 950 rem 41
  18. 450 rem 138
  19. 740 rem 69
  20. 1093 rem 356
  21. 374 rem 332
  22. 362 rem 92
  23. 809 rem 4
  24. 624 rem 7
  25. 757 rem 47
  26. 425 rem 13
  27. 60 rem 344
  28. 760 rem 66
  29. 205 rem 71
  30. 426 rem 135
  31. 485 rem 75
  32. 18 rem 93
  33. 550 rem 69
  34. 20 rem 355
  35. 557 rem 78
  36. 395 rem 364
  37. 737 rem 53
  38. 360 rem 91
  39. 383 rem 138
  40. 290 rem 20

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