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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 888 · 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. 1.75713 ÷ 96 =
  2. 2.38848 ÷ 96 =
  3. 3.43533 ÷ 96 =
  4. 4.44209 ÷ 98 =
  5. 5.79536 ÷ 98 =
  6. 6.73588 ÷ 96 =
  7. 7.2575 ÷ 8 =
  8. 8.447260 ÷ 997 =
  9. 9.374316 ÷ 897 =
  10. 10.7533 ÷ 8 =
  11. 11.175906 ÷ 997 =
  12. 12.1280 ÷ 98 =
  13. 13.247763 ÷ 997 =
  14. 14.32175 ÷ 88 =
  15. 15.1228 ÷ 8 =
  16. 16.81475 ÷ 96 =
  17. 17.194675 ÷ 988 =
  18. 18.66345 ÷ 98 =
  19. 19.9755 ÷ 8 =
  20. 20.6514 ÷ 8 =
  21. 21.788939 ÷ 997 =
  22. 22.947561 ÷ 988 =
  23. 23.293680 ÷ 988 =
  24. 24.435100 ÷ 989 =
  25. 25.84978 ÷ 98 =
  26. 26.62761 ÷ 97 =
  27. 27.57502 ÷ 97 =
  28. 28.42648 ÷ 988 =
  29. 29.744102 ÷ 988 =
  30. 30.44240 ÷ 96 =
  31. 31.31557 ÷ 88 =
  32. 32.47660 ÷ 96 =
  33. 33.21477 ÷ 89 =
  34. 34.71409 ÷ 97 =
  35. 35.67529 ÷ 96 =
  36. 36.7724 ÷ 98 =
  37. 37.25054 ÷ 97 =
  38. 38.1277 ÷ 89 =
  39. 39.7877 ÷ 8 =
  40. 40.237412 ÷ 897 =

Answer key

  1. 788 rem 65
  2. 404 rem 64
  3. 453 rem 45
  4. 451 rem 11
  5. 811 rem 58
  6. 766 rem 52
  7. 321 rem 7
  8. 448 rem 604
  9. 417 rem 267
  10. 941 rem 5
  11. 176 rem 434
  12. 13 rem 6
  13. 248 rem 507
  14. 365 rem 55
  15. 153 rem 4
  16. 848 rem 67
  17. 197 rem 39
  18. 676 rem 97
  19. 1219 rem 3
  20. 814 rem 2
  21. 791 rem 312
  22. 959 rem 69
  23. 297 rem 244
  24. 439 rem 929
  25. 867 rem 12
  26. 647 rem 2
  27. 592 rem 78
  28. 43 rem 164
  29. 753 rem 138
  30. 460 rem 80
  31. 358 rem 53
  32. 496 rem 44
  33. 241 rem 28
  34. 736 rem 17
  35. 703 rem 41
  36. 78 rem 80
  37. 258 rem 28
  38. 14 rem 31
  39. 984 rem 5
  40. 264 rem 604

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