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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 350 · 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. 1.5534 ÷ 8 =
  2. 2.64572 ÷ 88 =
  3. 3.10939 ÷ 98 =
  4. 4.65218 ÷ 96 =
  5. 5.973772 ÷ 997 =
  6. 6.83072 ÷ 97 =
  7. 7.420549 ÷ 998 =
  8. 8.37852 ÷ 98 =
  9. 9.81661 ÷ 89 =
  10. 10.733086 ÷ 998 =
  11. 11.236191 ÷ 897 =
  12. 12.60117 ÷ 998 =
  13. 13.56019 ÷ 96 =
  14. 14.794200 ÷ 897 =
  15. 15.622971 ÷ 989 =
  16. 16.3851 ÷ 8 =
  17. 17.62007 ÷ 97 =
  18. 18.16498 ÷ 97 =
  19. 19.4811 ÷ 89 =
  20. 20.28346 ÷ 89 =
  21. 21.61746 ÷ 97 =
  22. 22.679787 ÷ 997 =
  23. 23.731264 ÷ 897 =
  24. 24.25640 ÷ 97 =
  25. 25.900036 ÷ 988 =
  26. 26.60438 ÷ 89 =
  27. 27.3140 ÷ 8 =
  28. 28.7731 ÷ 8 =
  29. 29.250581 ÷ 997 =
  30. 30.259204 ÷ 998 =
  31. 31.166722 ÷ 989 =
  32. 32.365873 ÷ 897 =
  33. 33.2594 ÷ 88 =
  34. 34.40761 ÷ 96 =
  35. 35.760124 ÷ 897 =
  36. 36.67662 ÷ 97 =
  37. 37.3362 ÷ 8 =
  38. 38.944530 ÷ 989 =
  39. 39.26860 ÷ 97 =
  40. 40.908 ÷ 8 =

Answer key

  1. 691 rem 6
  2. 733 rem 68
  3. 111 rem 61
  4. 679 rem 34
  5. 976 rem 700
  6. 856 rem 40
  7. 421 rem 391
  8. 386 rem 24
  9. 917 rem 48
  10. 734 rem 554
  11. 263 rem 280
  12. 60 rem 237
  13. 583 rem 51
  14. 885 rem 355
  15. 629 rem 890
  16. 481 rem 3
  17. 639 rem 24
  18. 170 rem 8
  19. 54 rem 5
  20. 318 rem 44
  21. 636 rem 54
  22. 681 rem 830
  23. 815 rem 209
  24. 264 rem 32
  25. 910 rem 956
  26. 679 rem 7
  27. 392 rem 4
  28. 966 rem 3
  29. 251 rem 334
  30. 259 rem 722
  31. 168 rem 570
  32. 407 rem 794
  33. 29 rem 42
  34. 424 rem 57
  35. 847 rem 365
  36. 697 rem 53
  37. 420 rem 2
  38. 955 rem 35
  39. 276 rem 88
  40. 113 rem 4

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