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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 901 · 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. 1.61557 ÷ 97 =
  2. 2.7552 ÷ 8 =
  3. 3.83818 ÷ 98 =
  4. 4.258189 ÷ 897 =
  5. 5.47550 ÷ 98 =
  6. 6.781472 ÷ 998 =
  7. 7.406486 ÷ 998 =
  8. 8.66636 ÷ 89 =
  9. 9.545764 ÷ 998 =
  10. 10.651950 ÷ 997 =
  11. 11.39970 ÷ 89 =
  12. 12.398808 ÷ 988 =
  13. 13.51250 ÷ 88 =
  14. 14.1707 ÷ 8 =
  15. 15.397811 ÷ 998 =
  16. 16.80255 ÷ 97 =
  17. 17.54035 ÷ 97 =
  18. 18.441503 ÷ 988 =
  19. 19.71227 ÷ 88 =
  20. 20.18072 ÷ 98 =
  21. 21.510999 ÷ 989 =
  22. 22.755634 ÷ 997 =
  23. 23.61389 ÷ 96 =
  24. 24.30103 ÷ 97 =
  25. 25.422889 ÷ 897 =
  26. 26.45593 ÷ 98 =
  27. 27.80017 ÷ 89 =
  28. 28.41441 ÷ 89 =
  29. 29.86661 ÷ 98 =
  30. 30.9646 ÷ 88 =
  31. 31.57442 ÷ 88 =
  32. 32.364564 ÷ 989 =
  33. 33.19230 ÷ 96 =
  34. 34.1461 ÷ 8 =
  35. 35.862465 ÷ 988 =
  36. 36.675369 ÷ 997 =
  37. 37.239008 ÷ 989 =
  38. 38.33648 ÷ 98 =
  39. 39.75390 ÷ 89 =
  40. 40.306912 ÷ 988 =

Answer key

  1. 634 rem 59
  2. 944 rem 0
  3. 855 rem 28
  4. 287 rem 750
  5. 485 rem 20
  6. 783 rem 38
  7. 407 rem 300
  8. 748 rem 64
  9. 546 rem 856
  10. 653 rem 909
  11. 449 rem 9
  12. 403 rem 644
  13. 582 rem 34
  14. 213 rem 3
  15. 398 rem 607
  16. 827 rem 36
  17. 557 rem 6
  18. 446 rem 855
  19. 809 rem 35
  20. 184 rem 40
  21. 516 rem 675
  22. 757 rem 905
  23. 639 rem 45
  24. 310 rem 33
  25. 471 rem 402
  26. 465 rem 23
  27. 899 rem 6
  28. 465 rem 56
  29. 884 rem 29
  30. 109 rem 54
  31. 652 rem 66
  32. 368 rem 612
  33. 200 rem 30
  34. 182 rem 5
  35. 872 rem 929
  36. 677 rem 400
  37. 241 rem 659
  38. 343 rem 34
  39. 847 rem 7
  40. 310 rem 632

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