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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 193 · 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. 1.66491 ÷ 98 =
  2. 2.89673 ÷ 89 =
  3. 3.838629 ÷ 897 =
  4. 4.208104 ÷ 998 =
  5. 5.42336 ÷ 988 =
  6. 6.697408 ÷ 897 =
  7. 7.96212 ÷ 97 =
  8. 8.6643 ÷ 8 =
  9. 9.90870 ÷ 98 =
  10. 10.6010 ÷ 88 =
  11. 11.855468 ÷ 989 =
  12. 12.569149 ÷ 988 =
  13. 13.210138 ÷ 989 =
  14. 14.59051 ÷ 97 =
  15. 15.163230 ÷ 897 =
  16. 16.76058 ÷ 98 =
  17. 17.21330 ÷ 89 =
  18. 18.9018 ÷ 8 =
  19. 19.997086 ÷ 997 =
  20. 20.302617 ÷ 989 =
  21. 21.93705 ÷ 97 =
  22. 22.11437 ÷ 98 =
  23. 23.694768 ÷ 997 =
  24. 24.128567 ÷ 997 =
  25. 25.7502 ÷ 89 =
  26. 26.779767 ÷ 988 =
  27. 27.911071 ÷ 988 =
  28. 28.349133 ÷ 897 =
  29. 29.686471 ÷ 998 =
  30. 30.283232 ÷ 897 =
  31. 31.261958 ÷ 988 =
  32. 32.952948 ÷ 997 =
  33. 33.90466 ÷ 96 =
  34. 34.24669 ÷ 96 =
  35. 35.20210 ÷ 96 =
  36. 36.457297 ÷ 998 =
  37. 37.21570 ÷ 88 =
  38. 38.5879 ÷ 8 =
  39. 39.53414 ÷ 96 =
  40. 40.84603 ÷ 89 =

Answer key

  1. 678 rem 47
  2. 1007 rem 50
  3. 934 rem 831
  4. 208 rem 520
  5. 42 rem 840
  6. 777 rem 439
  7. 991 rem 85
  8. 830 rem 3
  9. 927 rem 24
  10. 68 rem 26
  11. 864 rem 972
  12. 576 rem 61
  13. 212 rem 470
  14. 608 rem 75
  15. 181 rem 873
  16. 776 rem 10
  17. 239 rem 59
  18. 1127 rem 2
  19. 1000 rem 86
  20. 305 rem 972
  21. 966 rem 3
  22. 116 rem 69
  23. 696 rem 856
  24. 128 rem 951
  25. 84 rem 26
  26. 789 rem 235
  27. 922 rem 135
  28. 389 rem 200
  29. 687 rem 845
  30. 315 rem 677
  31. 265 rem 138
  32. 955 rem 813
  33. 942 rem 34
  34. 256 rem 93
  35. 210 rem 50
  36. 458 rem 213
  37. 245 rem 10
  38. 734 rem 7
  39. 556 rem 38
  40. 950 rem 53

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