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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 111 · 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. 1.293693 ÷ 998 =
  2. 2.20754 ÷ 98 =
  3. 3.563298 ÷ 897 =
  4. 4.15652 ÷ 88 =
  5. 5.39000 ÷ 88 =
  6. 6.1125 ÷ 8 =
  7. 7.15144 ÷ 98 =
  8. 8.881589 ÷ 997 =
  9. 9.741455 ÷ 997 =
  10. 10.918468 ÷ 997 =
  11. 11.3166 ÷ 8 =
  12. 12.765323 ÷ 988 =
  13. 13.35173 ÷ 96 =
  14. 14.9552 ÷ 89 =
  15. 15.2614 ÷ 8 =
  16. 16.55688 ÷ 88 =
  17. 17.6270 ÷ 8 =
  18. 18.88903 ÷ 89 =
  19. 19.876516 ÷ 897 =
  20. 20.917713 ÷ 897 =
  21. 21.94583 ÷ 98 =
  22. 22.12946 ÷ 89 =
  23. 23.149106 ÷ 989 =
  24. 24.67500 ÷ 97 =
  25. 25.934615 ÷ 998 =
  26. 26.161388 ÷ 988 =
  27. 27.1384 ÷ 8 =
  28. 28.65168 ÷ 96 =
  29. 29.635 ÷ 8 =
  30. 30.5151 ÷ 88 =
  31. 31.87477 ÷ 97 =
  32. 32.181512 ÷ 989 =
  33. 33.113505 ÷ 897 =
  34. 34.19603 ÷ 89 =
  35. 35.281309 ÷ 988 =
  36. 36.10726 ÷ 88 =
  37. 37.85045 ÷ 989 =
  38. 38.25320 ÷ 98 =
  39. 39.92621 ÷ 96 =
  40. 40.86952 ÷ 97 =

Answer key

  1. 294 rem 281
  2. 211 rem 76
  3. 627 rem 879
  4. 177 rem 76
  5. 443 rem 16
  6. 140 rem 5
  7. 154 rem 52
  8. 884 rem 241
  9. 743 rem 684
  10. 921 rem 231
  11. 395 rem 6
  12. 774 rem 611
  13. 366 rem 37
  14. 107 rem 29
  15. 326 rem 6
  16. 632 rem 72
  17. 783 rem 6
  18. 998 rem 81
  19. 977 rem 147
  20. 1023 rem 82
  21. 965 rem 13
  22. 145 rem 41
  23. 150 rem 756
  24. 695 rem 85
  25. 936 rem 487
  26. 163 rem 344
  27. 173 rem 0
  28. 678 rem 80
  29. 79 rem 3
  30. 58 rem 47
  31. 901 rem 80
  32. 183 rem 525
  33. 126 rem 483
  34. 220 rem 23
  35. 284 rem 717
  36. 121 rem 78
  37. 85 rem 980
  38. 258 rem 36
  39. 964 rem 77
  40. 896 rem 40

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