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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 757 · 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. 1.687431 ÷ 998 =
  2. 2.63515 ÷ 88 =
  3. 3.967227 ÷ 988 =
  4. 4.959041 ÷ 897 =
  5. 5.758594 ÷ 997 =
  6. 6.447463 ÷ 989 =
  7. 7.863941 ÷ 988 =
  8. 8.55446 ÷ 97 =
  9. 9.293540 ÷ 989 =
  10. 10.522619 ÷ 997 =
  11. 11.70318 ÷ 88 =
  12. 12.709929 ÷ 897 =
  13. 13.253428 ÷ 998 =
  14. 14.65318 ÷ 98 =
  15. 15.85583 ÷ 88 =
  16. 16.626782 ÷ 897 =
  17. 17.34744 ÷ 88 =
  18. 18.98129 ÷ 97 =
  19. 19.7913 ÷ 8 =
  20. 20.391661 ÷ 997 =
  21. 21.79386 ÷ 89 =
  22. 22.96222 ÷ 89 =
  23. 23.15391 ÷ 98 =
  24. 24.82000 ÷ 98 =
  25. 25.957820 ÷ 997 =
  26. 26.119987 ÷ 897 =
  27. 27.15129 ÷ 89 =
  28. 28.45143 ÷ 97 =
  29. 29.361603 ÷ 897 =
  30. 30.329532 ÷ 989 =
  31. 31.35314 ÷ 89 =
  32. 32.694769 ÷ 989 =
  33. 33.736851 ÷ 989 =
  34. 34.97855 ÷ 97 =
  35. 35.469512 ÷ 998 =
  36. 36.39401 ÷ 88 =
  37. 37.366114 ÷ 997 =
  38. 38.425630 ÷ 989 =
  39. 39.89274 ÷ 98 =
  40. 40.444104 ÷ 998 =

Answer key

  1. 688 rem 807
  2. 721 rem 67
  3. 978 rem 963
  4. 1069 rem 148
  5. 760 rem 874
  6. 452 rem 435
  7. 874 rem 429
  8. 571 rem 59
  9. 296 rem 796
  10. 524 rem 191
  11. 799 rem 6
  12. 791 rem 402
  13. 253 rem 934
  14. 666 rem 50
  15. 972 rem 47
  16. 698 rem 676
  17. 394 rem 72
  18. 1011 rem 62
  19. 989 rem 1
  20. 392 rem 837
  21. 891 rem 87
  22. 1081 rem 13
  23. 157 rem 5
  24. 836 rem 72
  25. 960 rem 700
  26. 133 rem 686
  27. 169 rem 88
  28. 465 rem 38
  29. 403 rem 112
  30. 333 rem 195
  31. 396 rem 70
  32. 702 rem 491
  33. 745 rem 46
  34. 1008 rem 79
  35. 470 rem 452
  36. 447 rem 65
  37. 367 rem 215
  38. 430 rem 360
  39. 910 rem 94
  40. 444 rem 992

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