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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 999 · 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. 1.356353 ÷ 998 =
  2. 2.802911 ÷ 989 =
  3. 3.86288 ÷ 89 =
  4. 4.928 ÷ 8 =
  5. 5.5182 ÷ 98 =
  6. 6.505486 ÷ 988 =
  7. 7.810759 ÷ 998 =
  8. 8.14162 ÷ 98 =
  9. 9.18945 ÷ 89 =
  10. 10.45748 ÷ 97 =
  11. 11.8925 ÷ 96 =
  12. 12.71084 ÷ 98 =
  13. 13.24462 ÷ 98 =
  14. 14.874 ÷ 8 =
  15. 15.203470 ÷ 998 =
  16. 16.18976 ÷ 97 =
  17. 17.84418 ÷ 98 =
  18. 18.537141 ÷ 989 =
  19. 19.1808 ÷ 8 =
  20. 20.7799 ÷ 8 =
  21. 21.48731 ÷ 97 =
  22. 22.3984 ÷ 8 =
  23. 23.47188 ÷ 96 =
  24. 24.59517 ÷ 88 =
  25. 25.76144 ÷ 98 =
  26. 26.581445 ÷ 997 =
  27. 27.3991 ÷ 88 =
  28. 28.72490 ÷ 96 =
  29. 29.72228 ÷ 997 =
  30. 30.158136 ÷ 897 =
  31. 31.7231 ÷ 8 =
  32. 32.45998 ÷ 97 =
  33. 33.2836 ÷ 8 =
  34. 34.5117 ÷ 89 =
  35. 35.361464 ÷ 989 =
  36. 36.4046 ÷ 8 =
  37. 37.60592 ÷ 89 =
  38. 38.927918 ÷ 998 =
  39. 39.69366 ÷ 96 =
  40. 40.518056 ÷ 997 =

Answer key

  1. 357 rem 67
  2. 811 rem 832
  3. 969 rem 47
  4. 116 rem 0
  5. 52 rem 86
  6. 511 rem 618
  7. 812 rem 383
  8. 144 rem 50
  9. 212 rem 77
  10. 471 rem 61
  11. 92 rem 93
  12. 725 rem 34
  13. 249 rem 60
  14. 109 rem 2
  15. 203 rem 876
  16. 195 rem 61
  17. 861 rem 40
  18. 543 rem 114
  19. 226 rem 0
  20. 974 rem 7
  21. 502 rem 37
  22. 498 rem 0
  23. 491 rem 52
  24. 676 rem 29
  25. 776 rem 96
  26. 583 rem 194
  27. 45 rem 31
  28. 755 rem 10
  29. 72 rem 444
  30. 176 rem 264
  31. 903 rem 7
  32. 474 rem 20
  33. 354 rem 4
  34. 57 rem 44
  35. 365 rem 479
  36. 505 rem 6
  37. 680 rem 72
  38. 929 rem 776
  39. 722 rem 54
  40. 519 rem 613

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