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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 866 · 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. 1.2827 ÷ 8 =
  2. 2.352465 ÷ 988 =
  3. 3.42584 ÷ 89 =
  4. 4.587213 ÷ 997 =
  5. 5.61083 ÷ 88 =
  6. 6.51665 ÷ 88 =
  7. 7.61190 ÷ 97 =
  8. 8.132098 ÷ 897 =
  9. 9.721931 ÷ 897 =
  10. 10.94370 ÷ 988 =
  11. 11.47988 ÷ 989 =
  12. 12.159438 ÷ 989 =
  13. 13.48599 ÷ 997 =
  14. 14.2577 ÷ 8 =
  15. 15.574329 ÷ 897 =
  16. 16.17995 ÷ 97 =
  17. 17.8867 ÷ 8 =
  18. 18.177642 ÷ 997 =
  19. 19.570964 ÷ 897 =
  20. 20.969132 ÷ 988 =
  21. 21.38776 ÷ 96 =
  22. 22.34444 ÷ 89 =
  23. 23.303868 ÷ 988 =
  24. 24.3793 ÷ 89 =
  25. 25.9765 ÷ 97 =
  26. 26.33234 ÷ 89 =
  27. 27.309429 ÷ 988 =
  28. 28.705860 ÷ 998 =
  29. 29.535396 ÷ 997 =
  30. 30.69272 ÷ 88 =
  31. 31.968777 ÷ 997 =
  32. 32.7842 ÷ 8 =
  33. 33.48432 ÷ 88 =
  34. 34.55703 ÷ 897 =
  35. 35.7508 ÷ 8 =
  36. 36.31104 ÷ 98 =
  37. 37.2850 ÷ 8 =
  38. 38.3457 ÷ 8 =
  39. 39.14898 ÷ 989 =
  40. 40.57397 ÷ 98 =

Answer key

  1. 353 rem 3
  2. 356 rem 737
  3. 478 rem 42
  4. 588 rem 977
  5. 694 rem 11
  6. 587 rem 9
  7. 630 rem 80
  8. 147 rem 239
  9. 804 rem 743
  10. 95 rem 510
  11. 48 rem 516
  12. 161 rem 209
  13. 48 rem 743
  14. 322 rem 1
  15. 640 rem 249
  16. 185 rem 50
  17. 1108 rem 3
  18. 178 rem 176
  19. 636 rem 472
  20. 980 rem 892
  21. 403 rem 88
  22. 387 rem 1
  23. 307 rem 552
  24. 42 rem 55
  25. 100 rem 65
  26. 373 rem 37
  27. 313 rem 185
  28. 707 rem 274
  29. 537 rem 7
  30. 787 rem 16
  31. 971 rem 690
  32. 980 rem 2
  33. 550 rem 32
  34. 62 rem 89
  35. 938 rem 4
  36. 317 rem 38
  37. 356 rem 2
  38. 432 rem 1
  39. 15 rem 63
  40. 585 rem 67

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